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215340972 = 2237111713709
BaseRepresentation
bin11001101010111…
…01011110101100
3120000012110021120
430311131132230
5420111402342
633211300540
75223240150
oct1465353654
9500173246
10215340972
11100610950
126014a750
13357c8bc2
1420857060
1513d89aec
hexcd5d7ac

215340972 has 96 divisors (see below), whose sum is σ = 663344640. Its totient is φ = 52638720.

The previous prime is 215340901. The next prime is 215340991. The reversal of 215340972 is 279043512.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8854 + ... + 22562.

It is an arithmetic number, because the mean of its divisors is an integer number (6909840).

Almost surely, 2215340972 is an apocalyptic number.

215340972 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 215340972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331672320).

215340972 is an abundant number, since it is smaller than the sum of its proper divisors (448003668).

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

215340972 is a wasteful number, since it uses less digits than its factorization.

215340972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13751 (or 13749 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 215340972 is about 14674.5007410814. The cubic root of 215340972 is about 599.3891672388.

The spelling of 215340972 in words is "two hundred fifteen million, three hundred forty thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 7 11 12 14 17 21 22 28 33 34 42 44 51 66 68 77 84 102 119 132 154 187 204 231 238 308 357 374 462 476 561 714 748 924 1122 1309 1428 2244 2618 3927 5236 7854 13709 15708 27418 41127 54836 82254 95963 150799 164508 191926 233053 287889 301598 383852 452397 466106 575778 603196 699159 904794 932212 1055593 1151556 1398318 1631371 1809588 2111186 2563583 2796636 3166779 3262742 4222372 4894113 5127166 6333558 6525484 7690749 9788226 10254332 12667116 15381498 17945081 19576452 30762996 35890162 53835243 71780324 107670486 215340972