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385522224840 = 23345138186161
BaseRepresentation
bin1011001110000101110…
…10100100111011001000
31100212002201002012010000
411213002322210323020
522304022142143330
6453034555123000
736565412561664
oct5470272447310
91325081065100
10385522224840
11139554277665
1262872743460
132a47c05938c
141493347b8a4
15a06588c560
hex59c2ea4ec8

385522224840 has 160 divisors (see below), whose sum is σ = 1296736376760. Its totient is φ = 102730291200.

The previous prime is 385522224821. The next prime is 385522224851. The reversal of 385522224840 is 48422225583.

385522224840 is a `hidden beast` number, since 3 + 85 + 522 + 2 + 2 + 4 + 8 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 222763232484 + 162758992356 = 471978^2 + 403434^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4431360 + ... + 4517520.

Almost surely, 2385522224840 is an apocalyptic number.

385522224840 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 385522224840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648368188380).

385522224840 is an abundant number, since it is smaller than the sum of its proper divisors (911214151920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

385522224840 is a wasteful number, since it uses less digits than its factorization.

385522224840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87565 (or 87552 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 45.

The spelling of 385522224840 in words is "three hundred eighty-five billion, five hundred twenty-two million, two hundred twenty-four thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1381 1620 2762 3240 4143 5524 6905 8286 11048 12429 13810 16572 20715 24858 27620 33144 37287 41430 49716 55240 62145 74574 82860 86161 99432 111861 124290 149148 165720 172322 186435 223722 248580 258483 298296 344644 372870 430805 447444 497160 516966 559305 689288 745740 775449 861610 894888 1033932 1118610 1292415 1491480 1550898 1723220 2067864 2237220 2326347 2584830 3101796 3446440 3877245 4474440 4652694 5169660 6203592 6979041 7754490 9305388 10339320 11631735 13958082 15508980 18610776 23263470 27916164 31017960 34895205 46526940 55832328 69790410 93053880 118988341 139580820 237976682 279161640 356965023 475953364 594941705 713930046 951906728 1070895069 1189883410 1427860092 1784825115 2141790138 2379766820 2855720184 3212685207 3569650230 4283580276 4759533640 5354475345 6425370414 7139300460 8567160552 9638055621 10708950690 12850740828 14278600920 16063426035 19276111242 21417901380 25701481656 32126852070 38552222484 42835802760 48190278105 64253704140 77104444968 96380556210 128507408280 192761112420 385522224840