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2157367296 = 2123723583
BaseRepresentation
bin1000000010010110…
…1101000000000000
312120100110121120110
42000211231000000
513404241223141
6554023511320
7104314214400
oct20045550000
95510417513
102157367296
11a07860a87
125025b8540
13284c556c6
14166740800
15c95e9e16
hex8096d000

2157367296 has 156 divisors (see below), whose sum is σ = 6693292032. Its totient is φ = 616218624.

The previous prime is 2157367243. The next prime is 2157367309. The reversal of 2157367296 is 6927637512.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 600321 + ... + 603903.

Almost surely, 22157367296 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 2157367296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3346646016).

2157367296 is an abundant number, since it is smaller than the sum of its proper divisors (4535924736).

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

2157367296 is an equidigital number, since it uses as much as digits as its factorization.

2157367296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3624 (or 3595 counting only the distinct ones).

The product of its digits is 952560, while the sum is 48.

The square root of 2157367296 is about 46447.4681333655. The cubic root of 2157367296 is about 1292.1354163514.

The spelling of 2157367296 in words is "two billion, one hundred fifty-seven million, three hundred sixty-seven thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 256 294 336 384 392 448 512 588 672 768 784 896 1024 1176 1344 1536 1568 1792 2048 2352 2688 3072 3136 3583 3584 4096 4704 5376 6144 6272 7166 7168 9408 10749 10752 12288 12544 14332 14336 18816 21498 21504 25081 25088 28664 28672 37632 42996 43008 50162 50176 57328 75243 75264 85992 86016 100324 100352 114656 150486 150528 171984 175567 200648 200704 229312 300972 301056 343968 351134 401296 458624 526701 601944 602112 687936 702268 802592 917248 1053402 1203888 1375872 1404536 1605184 1834496 2106804 2407776 2751744 2809072 3210368 3668992 4213608 4815552 5503488 5618144 6420736 7337984 8427216 9631104 11006976 11236288 12841472 14675968 16854432 19262208 22013952 22472576 25682944 33708864 38524416 44027904 44945152 51365888 67417728 77048832 89890304 102731776 134835456 154097664 179780608 269670912 308195328 359561216 539341824 719122432 1078683648 2157367296