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2156519112 = 233112292883
BaseRepresentation
bin1000000010001001…
…1101111011001000
312120021212112002020
42000202131323020
513404032102422
6553553404440
7104304052506
oct20042357310
95507775066
102156519112
11a07331800
12502269720
13284a19617
1416659d676
15c94cd95c
hex8089dec8

2156519112 has 144 divisors (see below), whose sum is σ = 6144312720. Its totient is φ = 630241920.

The previous prime is 2156519093. The next prime is 2156519117. The reversal of 2156519112 is 2119156512.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (2156519117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2441823 + ... + 2442705.

Almost surely, 22156519112 is an apocalyptic number.

2156519112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2156519112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3072156360).

2156519112 is an abundant number, since it is smaller than the sum of its proper divisors (3987793608).

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

2156519112 is a wasteful number, since it uses less digits than its factorization.

2156519112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972 (or 928 counting only the distinct ones).

The product of its digits is 5400, while the sum is 33.

The square root of 2156519112 is about 46438.3366627187. The cubic root of 2156519112 is about 1291.9660568039.

The spelling of 2156519112 in words is "two billion, one hundred fifty-six million, five hundred nineteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 29 33 44 58 66 87 88 116 121 132 174 232 242 264 319 348 363 484 638 696 726 841 883 957 968 1276 1452 1682 1766 1914 2523 2552 2649 2904 3364 3509 3532 3828 5046 5298 6728 7018 7064 7656 9251 9713 10092 10527 10596 14036 18502 19426 20184 21054 21192 25607 27753 28072 29139 37004 38852 42108 51214 55506 58278 74008 76821 77704 84216 101761 102428 106843 111012 116556 153642 203522 204856 213686 222024 233112 281677 305283 307284 320529 407044 427372 563354 610566 614568 641058 742603 814088 845031 854744 1126708 1221132 1282116 1485206 1690062 2227809 2253416 2442264 2564232 2970412 3098447 3380124 4455618 5940824 6196894 6760248 8168633 8911236 9295341 12393788 16337266 17822472 18590682 24505899 24787576 32674532 37181364 49011798 65349064 74362728 89854963 98023596 179709926 196047192 269564889 359419852 539129778 718839704 1078259556 2156519112