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215134245440 = 26511328321023
BaseRepresentation
bin1100100001011100000…
…0000001001001000000
3202120022002001000022022
43020113000001021000
512011043331323230
6242455321301012
721354140625362
oct3102700011100
9676262030268
10215134245440
1183268744864
1235840034768
131739690c1aa
14a5ac08cd32
1558e1e551e5
hex3217001240

215134245440 has 112 divisors (see below), whose sum is σ = 518672844288. Its totient is φ = 84986732544.

The previous prime is 215134245419. The next prime is 215134245467. The reversal of 215134245440 is 44542431512.

It is a happy number.

It is a super-2 number, since 2×2151342454402 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 215134245440.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10222769 + ... + 10243791.

Almost surely, 2215134245440 is an apocalyptic number.

215134245440 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 215134245440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259336422144).

215134245440 is an abundant number, since it is smaller than the sum of its proper divisors (303538598848).

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

215134245440 is a wasteful number, since it uses less digits than its factorization.

215134245440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21436 (or 21426 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 35.

Adding to 215134245440 its reverse (44542431512), we get a palindrome (259676676952).

The spelling of 215134245440 in words is "two hundred fifteen billion, one hundred thirty-four million, two hundred forty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 113 160 226 283 320 452 565 566 904 1130 1132 1415 1808 2260 2264 2830 3616 4520 4528 5660 7232 9040 9056 11320 18080 18112 21023 22640 31979 36160 42046 45280 63958 84092 90560 105115 127916 159895 168184 210230 255832 319790 336368 420460 511664 639580 672736 840920 1023328 1279160 1345472 1681840 2046656 2375599 2558320 3363680 4751198 5116640 5949509 6727360 9502396 10233280 11877995 11899018 19004792 23755990 23798036 29747545 38009584 47511980 47596072 59495090 76019168 95023960 95192144 118990180 152038336 190047920 190384288 237980360 380095840 380768576 475960720 672294517 760191680 951921440 1344589034 1903842880 2689178068 3361472585 5378356136 6722945170 10756712272 13445890340 21513424544 26891780680 43026849088 53783561360 107567122720 215134245440