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422094240 = 2534532569
BaseRepresentation
bin11001001010001…
…010010110100000
31002102020121110000
4121022022112200
51331024003430
6105514540000
713313512311
oct3112122640
91072217400
10422094240
111a7296717
12b9437600
13695a9009
14400b6608
15270c9e60
hex1928a5a0

422094240 has 120 divisors (see below), whose sum is σ = 1489686660. Its totient is φ = 112555008.

The previous prime is 422094227. The next prime is 422094269. The reversal of 422094240 is 42490224.

It can be written as a sum of positive squares in 2 ways, for example, as 396328464 + 25765776 = 19908^2 + 5076^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3325 + ... + 29244.

Almost surely, 2422094240 is an apocalyptic number.

422094240 is a gapful number since it is divisible by the number (40) 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 422094240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744843330).

422094240 is an abundant number, since it is smaller than the sum of its proper divisors (1067592420).

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

422094240 is a wasteful number, since it uses less digits than its factorization.

422094240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32596 (or 32579 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 422094240 is about 20544.9322218400. The cubic root of 422094240 is about 750.1298975009.

The spelling of 422094240 in words is "four hundred twenty-two million, ninety-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 81 90 96 108 120 135 144 160 162 180 216 240 270 288 324 360 405 432 480 540 648 720 810 864 1080 1296 1440 1620 2160 2592 3240 4320 6480 12960 32569 65138 97707 130276 162845 195414 260552 293121 325690 390828 488535 521104 586242 651380 781656 879363 977070 1042208 1172484 1302760 1465605 1563312 1758726 1954140 2344968 2605520 2638089 2931210 3126624 3517452 3908280 4396815 4689936 5211040 5276178 5862420 7034904 7816560 8793630 9379872 10552356 11724840 13190445 14069808 15633120 17587260 21104712 23449680 26380890 28139616 35174520 42209424 46899360 52761780 70349040 84418848 105523560 140698080 211047120 422094240