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2157442272 = 2532311671447
BaseRepresentation
bin1000000010010111…
…1111010011100000
312120100121102102100
42000211333103200
513404301123042
6554025250400
7104314646106
oct20045772340
95510542370
102157442272
11a07902347
12502633a00
13284c8087b
1416675dc76
15c961224c
hex8097f4e0

2157442272 has 144 divisors (see below), whose sum is σ = 6375462912. Its totient is φ = 691303680.

The previous prime is 2157442271. The next prime is 2157442279. The reversal of 2157442272 is 2722447512.

2157442272 is a `hidden beast` number, since 21 + 574 + 42 + 27 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2157442271) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1490253 + ... + 1491699.

It is an arithmetic number, because the mean of its divisors is an integer number (44274048).

Almost surely, 22157442272 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 2157442272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3187731456).

2157442272 is an abundant number, since it is smaller than the sum of its proper divisors (4218020640).

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

2157442272 is a wasteful number, since it uses less digits than its factorization.

2157442272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1661 (or 1650 counting only the distinct ones).

The product of its digits is 62720, while the sum is 36.

The square root of 2157442272 is about 46448.2752317026. The cubic root of 2157442272 is about 1292.1503849079.

Adding to 2157442272 its reverse (2722447512), we get a palindrome (4879889784).

The spelling of 2157442272 in words is "two billion, one hundred fifty-seven million, four hundred forty-two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 72 93 96 124 144 167 186 248 279 288 334 372 496 501 558 668 744 992 1002 1116 1336 1447 1488 1503 2004 2232 2672 2894 2976 3006 4008 4341 4464 5177 5344 5788 6012 8016 8682 8928 10354 11576 12024 13023 15531 16032 17364 20708 23152 24048 26046 31062 34728 41416 44857 46304 46593 48096 52092 62124 69456 82832 89714 93186 104184 124248 134571 138912 165664 179428 186372 208368 241649 248496 269142 358856 372744 403713 416736 483298 496992 538284 717712 724947 745488 807426 966596 1076568 1435424 1449894 1490976 1614852 1933192 2153136 2174841 2899788 3229704 3866384 4306272 4349682 5799576 6459408 7491119 7732768 8699364 11599152 12918816 14982238 17398728 22473357 23198304 29964476 34797456 44946714 59928952 67420071 69594912 89893428 119857904 134840142 179786856 239715808 269680284 359573712 539360568 719147424 1078721136 2157442272