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215008992 = 2534117541
BaseRepresentation
bin11001101000011…
…00011011100000
3112222120120220000
430310030123200
5420020241432
633200220000
75220355242
oct1464143340
9488516800
10215008992
11100404490
126000a600
1335710a73
14207ac092
1513d2157c
hexcd0c6e0

215008992 has 120 divisors (see below), whose sum is σ = 689911992. Its totient is φ = 65145600.

The previous prime is 215008951. The next prime is 215008999. The reversal of 215008992 is 299800512.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (215008999) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 24742 + ... + 32282.

Almost surely, 2215008992 is an apocalyptic number.

215008992 is a gapful number since it is divisible by the number (22) 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 215008992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344955996).

215008992 is an abundant number, since it is smaller than the sum of its proper divisors (474903000).

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

215008992 is a wasteful number, since it uses less digits than its factorization.

215008992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7574 (or 7557 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 215008992 is about 14663.1849200643. The cubic root of 215008992 is about 599.0809930959.

It can be divided in two parts, 215008 and 992, that added together give a cube (216000 = 603).

The spelling of 215008992 in words is "two hundred fifteen million, eight thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 81 88 96 99 108 132 144 162 176 198 216 264 288 297 324 352 396 432 528 594 648 792 864 891 1056 1188 1296 1584 1782 2376 2592 3168 3564 4752 7128 7541 9504 14256 15082 22623 28512 30164 45246 60328 67869 82951 90492 120656 135738 165902 180984 203607 241312 248853 271476 331804 361968 407214 497706 542952 610821 663608 723936 746559 814428 995412 1085904 1221642 1327216 1493118 1628856 1990824 2171808 2239677 2443284 2654432 2986236 3257712 3981648 4479354 4886568 5972472 6515424 6719031 7963296 8958708 9773136 11944944 13438062 17917416 19546272 23889888 26876124 35834832 53752248 71669664 107504496 215008992