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2162112612 = 2231137479419
BaseRepresentation
bin1000000011011111…
…0011100001100100
312120200101200220220
42000313303201210
513412000100422
6554313324340
7104402440212
oct20067634144
95520350826
102162112612
11a0a502230
125041066b0
13285c2759a
14167217cb2
15c9c35e5c
hex80df3864

2162112612 has 96 divisors (see below), whose sum is σ = 5773178880. Its totient is φ = 623848320.

The previous prime is 2162112611. The next prime is 2162112629.

2162112612 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2162112611) 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, 224839 + ... + 234257.

It is an arithmetic number, because the mean of its divisors is an integer number (60137280).

Almost surely, 22162112612 is an apocalyptic number.

2162112612 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 2162112612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2886589440).

2162112612 is an abundant number, since it is smaller than the sum of its proper divisors (3611066268).

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

2162112612 is a wasteful number, since it uses less digits than its factorization.

2162112612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9521 (or 9519 counting only the distinct ones).

The product of its digits is 576, while the sum is 24.

The square root of 2162112612 is about 46498.5226862102. The cubic root of 2162112612 is about 1293.0821104551.

The spelling of 2162112612 in words is "two billion, one hundred sixty-two million, one hundred twelve thousand, six hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 47 66 74 94 111 132 141 148 188 222 282 407 444 517 564 814 1034 1221 1551 1628 1739 2068 2442 3102 3478 4884 5217 6204 6956 9419 10434 18838 19129 20868 28257 37676 38258 56514 57387 76516 103609 113028 114774 207218 229548 310827 348503 414436 442693 621654 697006 885386 1045509 1243308 1328079 1394012 1770772 2091018 2656158 3833533 4182036 4869623 5312316 7667066 9739246 11500599 14608869 15334132 16379641 19478492 23001198 29217738 32759282 46002396 49138923 58435476 65518564 98277846 180176051 196555692 360352102 540528153 720704204 1081056306 2162112612