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2164500928 = 261723671291
BaseRepresentation
bin1000000100000011…
…1010100111000000
312120211220001002001
42001000322213000
513413103012203
6554440433344
7104431645222
oct20100724700
95524801061
102164500928
11a10893647
12504a78854
132865826a5
1416767a412
15ca05891d
hex8103a9c0

2164500928 has 112 divisors (see below), whose sum is σ = 4820131584. Its totient is φ = 959016960.

The previous prime is 2164500907. The next prime is 2164500929. The reversal of 2164500928 is 8290054612.

It is a super-2 number, since 2×21645009282 = 9370128534625722368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2164500929) 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, 1675963 + ... + 1677253.

Almost surely, 22164500928 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 2164500928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2410065792).

2164500928 is an abundant number, since it is smaller than the sum of its proper divisors (2655630656).

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

2164500928 is a wasteful number, since it uses less digits than its factorization.

2164500928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1410 (or 1400 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 2164500928 is about 46524.1972311183. The cubic root of 2164500928 is about 1293.5580573359.

The spelling of 2164500928 in words is "two billion, one hundred sixty-four million, five hundred thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 16 17 23 32 34 46 64 67 68 92 134 136 184 268 272 368 391 536 544 736 782 1072 1088 1139 1291 1472 1541 1564 2144 2278 2582 3082 3128 4288 4556 5164 6164 6256 9112 10328 12328 12512 18224 20656 21947 24656 25024 26197 29693 36448 41312 43894 49312 52394 59386 72896 82624 86497 87788 98624 104788 118772 172994 175576 209576 237544 345988 351152 419152 475088 504781 691976 702304 838304 950176 1009562 1383952 1404608 1470449 1676608 1900352 1989431 2019124 2767904 2940898 3978862 4038248 5535808 5881796 7957724 8076496 11763592 15915448 16152992 23527184 31830896 32305984 33820327 47054368 63661792 67640654 94108736 127323584 135281308 270562616 541125232 1082250464 2164500928