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2264937312 = 253115936353
BaseRepresentation
bin1000011100000000…
…0011001101100000
312211211212201220010
42013000003031200
514114310443222
61012425244520
7110061435531
oct20700031540
95754781803
102264937312
11a62552a20
12532633740
132a13199c1
14176b42688
15d3c9780c
hex87003360

2264937312 has 96 divisors (see below), whose sum is σ = 6596069760. Its totient is φ = 674693120.

The previous prime is 2264937247. The next prime is 2264937317. The reversal of 2264937312 is 2137394622.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2264937317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44128 + ... + 80480.

It is an arithmetic number, because the mean of its divisors is an integer number (68709060).

Almost surely, 22264937312 is an apocalyptic number.

2264937312 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 2264937312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3298034880).

2264937312 is an abundant number, since it is smaller than the sum of its proper divisors (4331132448).

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

2264937312 is a wasteful number, since it uses less digits than its factorization.

2264937312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36436 (or 36428 counting only the distinct ones).

The product of its digits is 108864, while the sum is 39.

The square root of 2264937312 is about 47591.3575347457. The cubic root of 2264937312 is about 1313.2640689992.

The spelling of 2264937312 in words is "two billion, two hundred sixty-four million, nine hundred thirty-seven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 59 66 88 96 118 132 176 177 236 264 352 354 472 528 649 708 944 1056 1298 1416 1888 1947 2596 2832 3894 5192 5664 7788 10384 15576 20768 31152 36353 62304 72706 109059 145412 218118 290824 399883 436236 581648 799766 872472 1163296 1199649 1599532 1744944 2144827 2399298 3199064 3489888 4289654 4798596 6398128 6434481 8579308 9597192 12796256 12868962 17158616 19194384 23593097 25737924 34317232 38388768 47186194 51475848 68634464 70779291 94372388 102951696 141558582 188744776 205903392 283117164 377489552 566234328 754979104 1132468656 2264937312