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213256152 = 23341917321
BaseRepresentation
bin11001011011000…
…00011111011000
3112212021112110000
430231200133120
5414043144102
633054453000
75166435024
oct1455403730
9485245400
10213256152
11aa41755a
125b504160
1335248c95
1420473384
1513ac701c
hexcb607d8

213256152 has 80 divisors (see below), whose sum is σ = 628788600. Its totient is φ = 67340160.

The previous prime is 213256151. The next prime is 213256157. The reversal of 213256152 is 251652312.

It is a happy number.

213256152 is a `hidden beast` number, since 21 + 3 + 25 + 615 + 2 = 666.

213256152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213256151) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3652 + ... + 20972.

Almost surely, 2213256152 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 213256152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314394300).

213256152 is an abundant number, since it is smaller than the sum of its proper divisors (415532448).

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

213256152 is a wasteful number, since it uses less digits than its factorization.

213256152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17358 (or 17345 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 213256152 is about 14603.2925054592. The cubic root of 213256152 is about 597.4485656839.

The spelling of 213256152 in words is "two hundred thirteen million, two hundred fifty-six thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 81 108 114 152 162 171 216 228 324 342 456 513 648 684 1026 1368 1539 2052 3078 4104 6156 12312 17321 34642 51963 69284 103926 138568 155889 207852 311778 329099 415704 467667 623556 658198 935334 987297 1247112 1316396 1403001 1870668 1974594 2632792 2806002 2961891 3741336 3949188 5612004 5923782 7898376 8885673 11224008 11847564 17771346 23695128 26657019 35542692 53314038 71085384 106628076 213256152