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1214563136 = 2631679137
BaseRepresentation
bin100100001100100…
…1100001101000000
310010122102012101212
41020121030031000
54441412010021
6320304145252
742045421253
oct11031141500
93118365355
101214563136
11573653296
1229a908228
13164823017
14b744109a
157196585b
hex4864c340

1214563136 has 56 divisors (see below), whose sum is σ = 2525304576. Its totient is φ = 578856960.

The previous prime is 1214563127. The next prime is 1214563157. The reversal of 1214563136 is 6313654121.

It is a super-2 number, since 2×12145631362 = 2950327222660308992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 128360 + ... + 137496.

Almost surely, 21214563136 is an apocalyptic number.

1214563136 is a gapful number since it is divisible by the number (16) 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 1214563136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1262652288).

1214563136 is an abundant number, since it is smaller than the sum of its proper divisors (1310741440).

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

1214563136 is an equidigital number, since it uses as much as digits as its factorization.

1214563136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9247 (or 9237 counting only the distinct ones).

The product of its digits is 12960, while the sum is 32.

The square root of 1214563136 is about 34850.5830080359. The cubic root of 1214563136 is about 1066.9400847700.

The spelling of 1214563136 in words is "one billion, two hundred fourteen million, five hundred sixty-three thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 31 32 62 64 67 124 134 248 268 496 536 992 1072 1984 2077 2144 4154 4288 8308 9137 16616 18274 33232 36548 66464 73096 132928 146192 283247 292384 566494 584768 612179 1132988 1224358 2265976 2448716 4531952 4897432 9063904 9794864 18127808 18977549 19589728 37955098 39179456 75910196 151820392 303640784 607281568 1214563136