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213490723720 = 235193711367187
BaseRepresentation
bin1100011011010100001…
…0011110101110001000
3202102001112110110100111
43012311002132232020
511444212111124340
6242024251044104
721265333132021
oct3066502365610
9672045413314
10213490723720
11825a4a4764a
1235461740634
1317194278931
14a493aa9c48
155847a0aaea
hex31b509eb88

213490723720 has 128 divisors (see below), whose sum is σ = 523905148800. Its totient is φ = 78017458176.

The previous prime is 213490723703. The next prime is 213490723727. The reversal of 213490723720 is 27327094312.

It is a happy number.

It is a super-2 number, since 2×2134907237202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (213490723727) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3143967 + ... + 3211153.

It is an arithmetic number, because the mean of its divisors is an integer number (4093008975).

Almost surely, 2213490723720 is an apocalyptic number.

213490723720 is a gapful number since it is divisible by the number (20) 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 213490723720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261952574400).

213490723720 is an abundant number, since it is smaller than the sum of its proper divisors (310414425080).

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

213490723720 is a wasteful number, since it uses less digits than its factorization.

213490723720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67367 (or 67363 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 40.

The spelling of 213490723720 in words is "two hundred thirteen billion, four hundred ninety million, seven hundred twenty-three thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 37 38 40 74 76 95 113 148 152 185 190 226 296 370 380 452 565 703 740 760 904 1130 1406 1480 2147 2260 2812 3515 4181 4294 4520 5624 7030 8362 8588 10735 14060 16724 17176 20905 21470 28120 33448 41810 42940 67187 79439 83620 85880 134374 158878 167240 268748 317756 335935 397195 537496 635512 671870 794390 1276553 1343740 1588780 2485919 2553106 2687480 3177560 4971838 5106212 6382765 7592131 9943676 10212424 12429595 12765530 15184262 19887352 24859190 25531060 30368524 37960655 47232461 49718380 51062120 60737048 75921310 94464922 99436760 144250489 151842620 188929844 236162305 280908847 288500978 303685240 377859688 472324610 561817694 577001956 721252445 944649220 1123635388 1154003912 1404544235 1442504890 1889298440 2247270776 2809088470 2885009780 5337268093 5618176940 5770019560 10674536186 11236353880 21349072372 26686340465 42698144744 53372680930 106745361860 213490723720