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2272694272 = 2121922953
BaseRepresentation
bin1000011101110110…
…1001000000000000
312212101110211102221
42013131221000000
514123302204042
61013303420424
7110214403552
oct20735510000
95771424387
102272694272
11a66970932
12535154714
132a2b04614
14177ba14d2
15d47cad67
hex87769000

2272694272 has 156 divisors (see below), whose sum is σ = 5055649020. Its totient is φ = 1019805696.

The previous prime is 2272694269. The next prime is 2272694273. The reversal of 2272694272 is 2724962722.

It can be written as a sum of positive squares in 2 ways, for example, as 1420988416 + 851705856 = 37696^2 + 29184^2 .

Its product of digits (338688) is a multiple of the sum of its prime factors (144).

It is not an unprimeable number, because it can be changed into a prime (2272694273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42880998 + ... + 42881050.

Almost surely, 22272694272 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 2272694272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2527824510).

2272694272 is an abundant number, since it is smaller than the sum of its proper divisors (2782954748).

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

2272694272 is an equidigital number, since it uses as much as digits as its factorization.

2272694272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 103 counting only the distinct ones).

The product of its digits is 338688, while the sum is 43.

The square root of 2272694272 is about 47672.7833464756. The cubic root of 2272694272 is about 1314.7615835167.

The spelling of 2272694272 in words is "two billion, two hundred seventy-two million, six hundred ninety-four thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 19 29 32 38 53 58 64 76 106 116 128 152 212 232 256 304 361 424 464 512 551 608 722 848 928 1007 1024 1102 1216 1444 1537 1696 1856 2014 2048 2204 2432 2888 3074 3392 3712 4028 4096 4408 4864 5776 6148 6784 7424 8056 8816 9728 10469 11552 12296 13568 14848 16112 17632 19133 19456 20938 23104 24592 27136 29203 29696 32224 35264 38266 38912 41876 46208 49184 54272 58406 59392 64448 70528 76532 77824 83752 92416 98368 108544 116812 118784 128896 141056 153064 167504 184832 196736 217088 233624 257792 282112 306128 335008 369664 393472 467248 515584 554857 564224 612256 670016 739328 786944 934496 1031168 1109714 1128448 1224512 1340032 1478656 1573888 1868992 2062336 2219428 2256896 2449024 2680064 3147776 3737984 4124672 4438856 4898048 5360128 6295552 7475968 8877712 9796096 10720256 14951936 17755424 19592192 21440512 29903872 35510848 39184384 42881024 59807744 71021696 78368768 119615488 142043392 284086784 568173568 1136347136 2272694272