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2252664216 = 233311948091
BaseRepresentation
bin1000011001000100…
…1110110110011000
312210222210012101000
42012101032312120
514103140223331
61011310225000
7106552221105
oct20621166630
95728705330
102252664216
11a5662aa70
1252a4b5160
1329b91060a
14175269aac
15d2b710e6
hex8644ed98

2252664216 has 64 divisors (see below), whose sum is σ = 6826262400. Its totient is φ = 682624800.

The previous prime is 2252664179. The next prime is 2252664251. The reversal of 2252664216 is 6124662522.

2252664216 is a `hidden beast` number, since 2 + 2 + 5 + 2 + 6 + 642 + 1 + 6 = 666.

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

It is a congruent number.

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, 471670 + ... + 476421.

It is an arithmetic number, because the mean of its divisors is an integer number (106660350).

Almost surely, 22252664216 is an apocalyptic number.

It is an amenable number.

2252664216 is an abundant number, since it is smaller than the sum of its proper divisors (4573598184).

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

2252664216 is a wasteful number, since it uses less digits than its factorization.

2252664216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 948117 (or 948107 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 2252664216 is about 47462.2398965746. The cubic root of 2252664216 is about 1310.8876946668.

The spelling of 2252664216 in words is "two billion, two hundred fifty-two million, six hundred sixty-four thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 396 594 792 1188 2376 948091 1896182 2844273 3792364 5688546 7584728 8532819 10429001 11377092 17065638 20858002 22754184 25598457 31287003 34131276 41716004 51196914 62574006 68262552 83432008 93861009 102393828 125148012 187722018 204787656 250296024 281583027 375444036 563166054 750888072 1126332108 2252664216