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2144823156 = 22327173791321
BaseRepresentation
bin111111111010111…
…0110011101110100
312112110212022020200
41333311312131310
513343033320111
6552455000500
7104102460510
oct17765663564
95473768220
102144823156
11a00773423
124ba369130
13282482b38
14164bd7140
15c846d256
hex7fd76774

2144823156 has 144 divisors (see below), whose sum is σ = 6582925440. Its totient is φ = 574801920.

The previous prime is 2144823097. The next prime is 2144823157. The reversal of 2144823156 is 6513284412.

It is a happy number.

2144823156 is a `hidden beast` number, since 21 + 4 + 482 + 3 + 156 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2144823156.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2144823157) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1622976 + ... + 1624296.

It is an arithmetic number, because the mean of its divisors is an integer number (45714760).

Almost surely, 22144823156 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 2144823156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3291462720).

2144823156 is an abundant number, since it is smaller than the sum of its proper divisors (4438102284).

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

2144823156 is a wasteful number, since it uses less digits than its factorization.

2144823156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1734 (or 1729 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 2144823156 is about 46312.2354891232. The cubic root of 2144823156 is about 1289.6261472985.

The spelling of 2144823156 in words is "two billion, one hundred forty-four million, eight hundred twenty-three thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 84 102 119 126 153 204 238 252 306 357 379 476 612 714 758 1071 1137 1321 1428 1516 2142 2274 2642 2653 3411 3963 4284 4548 5284 5306 6443 6822 7926 7959 9247 10612 11889 12886 13644 15852 15918 18494 19329 22457 23778 23877 25772 27741 31836 36988 38658 44914 45101 47556 47754 55482 57987 67371 77316 83223 89828 90202 95508 110964 115974 134742 135303 157199 166446 180404 202113 231948 269484 270606 314398 332892 404226 405909 471597 500659 541212 628796 808452 811818 943194 1001318 1414791 1501977 1623636 1886388 2002636 2829582 3003954 3504613 4505931 5659164 6007908 7009226 8511203 9011862 10513839 14018452 17022406 18023724 21027678 25533609 31541517 34044812 42055356 51067218 59578421 63083034 76600827 102134436 119156842 126166068 153201654 178735263 238313684 306403308 357470526 536205789 714941052 1072411578 2144823156