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2114500272 = 2431937223281
BaseRepresentation
bin111111000001000…
…1011011010110000
312110100210202001220
41332002023122300
513312303002042
6545453025040
7103253645553
oct17602133260
95410722056
102114500272
11995642395
124b0185180
132790c6bc1
14160b8269a
15c597d8ec
hex7e08b6b0

2114500272 has 160 divisors (see below), whose sum is σ = 5952952320. Its totient is φ = 644474880.

The previous prime is 2114500247. The next prime is 2114500277. The reversal of 2114500272 is 2720054112.

It is a super-2 number, since 2×21145002722 = 8942222800576147968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2114500277) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7524772 + ... + 7525052.

It is an arithmetic number, because the mean of its divisors is an integer number (37205952).

Almost surely, 22114500272 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 2114500272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2976476160).

2114500272 is an abundant number, since it is smaller than the sum of its proper divisors (3838452048).

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

2114500272 is a wasteful number, since it uses less digits than its factorization.

2114500272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 2114500272 is about 45983.6957192438. The cubic root of 2114500272 is about 1283.5198270531.

Adding to 2114500272 its reverse (2720054112), we get a palindrome (4834554384).

The spelling of 2114500272 in words is "two billion, one hundred fourteen million, five hundred thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 37 38 48 57 74 76 111 114 148 152 222 223 228 281 296 304 444 446 456 562 592 669 703 843 888 892 912 1124 1338 1406 1686 1776 1784 2109 2248 2676 2812 3372 3568 4218 4237 4496 5339 5352 5624 6744 8251 8436 8474 10397 10678 10704 11248 12711 13488 16017 16502 16872 16948 20794 21356 24753 25422 31191 32034 33004 33744 33896 41588 42712 49506 50844 62382 62663 64068 66008 67792 83176 85424 99012 101688 124764 125326 128136 132016 156769 166352 187989 197543 198024 203376 249528 250652 256272 313538 375978 395086 396048 470307 499056 501304 592629 627076 751956 790172 940614 1002608 1185258 1190597 1254152 1503912 1580344 1881228 2318531 2370516 2381194 2508304 3007824 3160688 3571791 3762456 4637062 4741032 4762388 6955593 7143582 7524912 9274124 9482064 9524776 13911186 14287164 18548248 19049552 27822372 28574328 37096496 44052089 55644744 57148656 88104178 111289488 132156267 176208356 264312534 352416712 528625068 704833424 1057250136 2114500272