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2292868296 = 2337294519
BaseRepresentation
bin1000100010101010…
…0110010011001000
312220210102210000000
42020222212103020
514143433241141
61015304043000
7110551026135
oct21052462310
95823383000
102292868296
11a7729a984
1253ba63460
132a7049004
1417a73358c
15d64635b6
hex88aa64c8

2292868296 has 128 divisors (see below), whose sum is σ = 6671520000. Its totient is φ = 737771328.

The previous prime is 2292868289. The next prime is 2292868313. The reversal of 2292868296 is 6928682922.

2292868296 is a `hidden beast` number, since 2 + 292 + 8 + 68 + 296 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 505125 + ... + 509643.

It is an arithmetic number, because the mean of its divisors is an integer number (52121250).

Almost surely, 22292868296 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 2292868296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3335760000).

2292868296 is an abundant number, since it is smaller than the sum of its proper divisors (4378651704).

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

2292868296 is an equidigital number, since it uses as much as digits as its factorization.

2292868296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4575 (or 4553 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The square root of 2292868296 is about 47883.9043520889. The cubic root of 2292868296 is about 1318.6403769048.

The spelling of 2292868296 in words is "two billion, two hundred ninety-two million, eight hundred sixty-eight thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 72 81 87 108 116 162 174 216 232 243 261 324 348 486 522 648 696 729 783 972 1044 1458 1566 1944 2088 2187 2349 2916 3132 4374 4519 4698 5832 6264 7047 8748 9038 9396 13557 14094 17496 18076 18792 21141 27114 28188 36152 40671 42282 54228 56376 63423 81342 84564 108456 122013 126846 131051 162684 169128 244026 253692 262102 325368 366039 393153 488052 507384 524204 732078 786306 976104 1048408 1098117 1179459 1464156 1572612 2196234 2358918 2928312 3145224 3294351 3538377 4392468 4717836 6588702 7076754 8784936 9435672 9883053 10615131 13177404 14153508 19766106 21230262 26354808 28307016 31845393 39532212 42460524 63690786 79064424 84921048 95536179 127381572 191072358 254763144 286608537 382144716 573217074 764289432 1146434148 2292868296