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112208964 = 223731411051
BaseRepresentation
bin1101011000000…
…10110001000100
321211010210202120
412230002301010
5212211141324
615045005540
72531521560
oct654026104
9254123676
10112208964
115838028a
12316b38b0
131a32994a
1410c8c6a0
159cb7179
hex6b02c44

112208964 has 96 divisors (see below), whose sum is σ = 316710912. Its totient is φ = 30240000.

The previous prime is 112208963. The next prime is 112208969. The reversal of 112208964 is 469802211.

It is not an unprimeable number, because it can be changed into a prime (112208963) 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, 106239 + ... + 107289.

It is an arithmetic number, because the mean of its divisors is an integer number (3299072).

Almost surely, 2112208964 is an apocalyptic number.

112208964 is a gapful number since it is divisible by the number (14) 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 112208964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158355456).

112208964 is an abundant number, since it is smaller than the sum of its proper divisors (204501948).

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

112208964 is a wasteful number, since it uses less digits than its factorization.

112208964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1137 (or 1135 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 112208964 is about 10592.8732646058. The cubic root of 112208964 is about 482.3280481176.

The spelling of 112208964 in words is "one hundred twelve million, two hundred eight thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 41 42 62 82 84 93 123 124 164 186 217 246 287 372 434 492 574 651 861 868 1051 1148 1271 1302 1722 2102 2542 2604 3153 3444 3813 4204 5084 6306 7357 7626 8897 12612 14714 15252 17794 22071 26691 29428 32581 35588 43091 44142 53382 65162 86182 88284 97743 106764 129273 130324 172364 195486 228067 258546 301637 390972 456134 517092 603274 684201 904911 912268 1206548 1335821 1368402 1809822 2671642 2736804 3619644 4007463 5343284 8014926 9350747 16029852 18701494 28052241 37402988 56104482 112208964