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215136012 = 2237131910369
BaseRepresentation
bin11001101001010…
…11011100001100
3112222211001010110
430310223130030
5420033323022
633203040020
75221424460
oct1464533414
9488731113
10215136012
11100490963
1260070010
1335756820
14208024a0
1513d4900c
hexcd2b70c

215136012 has 96 divisors (see below), whose sum is σ = 650406400. Its totient is φ = 53747712.

The previous prime is 215136011. The next prime is 215136023. The reversal of 215136012 is 210631512.

215136012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 215136012.

It is not an unprimeable number, because it can be changed into a prime (215136011) 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, 15564 + ... + 25932.

Almost surely, 2215136012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 215136012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325203200).

215136012 is an abundant number, since it is smaller than the sum of its proper divisors (435270388).

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

215136012 is a wasteful number, since it uses less digits than its factorization.

215136012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10415 (or 10413 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 215136012 is about 14667.5155360409. The cubic root of 215136012 is about 599.1989420975.

Adding to 215136012 its reverse (210631512), we get a palindrome (425767524).

The spelling of 215136012 in words is "two hundred fifteen million, one hundred thirty-six thousand, twelve".

Divisors: 1 2 3 4 6 7 12 13 14 19 21 26 28 38 39 42 52 57 76 78 84 91 114 133 156 182 228 247 266 273 364 399 494 532 546 741 798 988 1092 1482 1596 1729 2964 3458 5187 6916 10369 10374 20738 20748 31107 41476 62214 72583 124428 134797 145166 197011 217749 269594 290332 394022 404391 435498 539188 591033 788044 808782 870996 943579 1182066 1379077 1617564 1887158 2364132 2561143 2758154 2830737 3774316 4137231 5122286 5516308 5661474 7683429 8274462 10244572 11322948 15366858 16548924 17928001 30733716 35856002 53784003 71712004 107568006 215136012