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2264944032 = 25341367217
BaseRepresentation
bin1000011100000000…
…0100110110100000
312211211220002010000
42013000010312200
514114311202112
61012425340000
7110061464241
oct20700046640
95754802100
102264944032
11a62557a7a
12532637600
132a131ca90
14176b44cc8
15d3c997dc
hex87004da0

2264944032 has 120 divisors (see below), whose sum is σ = 7173639396. Its totient is φ = 696895488.

The previous prime is 2264943977. The next prime is 2264944049. The reversal of 2264944032 is 2304494622.

2264944032 is a `hidden beast` number, since 2 + 2 + 649 + 4 + 4 + 0 + 3 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2261573136 + 3370896 = 47556^2 + 1836^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 88 + ... + 67304.

Almost surely, 22264944032 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 2264944032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3586819698).

2264944032 is an abundant number, since it is smaller than the sum of its proper divisors (4908695364).

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

2264944032 is a wasteful number, since it uses less digits than its factorization.

2264944032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67252 (or 67235 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 2264944032 is about 47591.4281357473. The cubic root of 2264944032 is about 1313.2653678028.

The spelling of 2264944032 in words is "two billion, two hundred sixty-four million, nine hundred forty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 81 96 104 108 117 144 156 162 208 216 234 288 312 324 351 416 432 468 624 648 702 864 936 1053 1248 1296 1404 1872 2106 2592 2808 3744 4212 5616 8424 11232 16848 33696 67217 134434 201651 268868 403302 537736 604953 806604 873821 1075472 1209906 1613208 1747642 1814859 2150944 2419812 2621463 3226416 3495284 3629718 4839624 5242926 5444577 6452832 6990568 7259436 7864389 9679248 10485852 10889154 13981136 14518872 15728778 19358496 20971704 21778308 23593167 27962272 29037744 31457556 41943408 43556616 47186334 58075488 62915112 70779501 83886816 87113232 94372668 125830224 141559002 174226464 188745336 251660448 283118004 377490672 566236008 754981344 1132472016 2264944032