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213495264 = 2534312657
BaseRepresentation
bin11001011100110…
…10110111100000
3112212201200110000
430232122313200
5414123322024
633103540000
75201452113
oct1456326740
9485650400
10213495264
11aa570174
125b5ba600
1335300a78
14204d657a
1513b22cc9
hexcb9ade0

213495264 has 120 divisors (see below), whose sum is σ = 648381888. Its totient is φ = 68843520.

The previous prime is 213495251. The next prime is 213495283. The reversal of 213495264 is 462594312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 79024 + ... + 81680.

Almost surely, 2213495264 is an apocalyptic number.

213495264 is a gapful number since it is divisible by the number (24) 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 213495264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324190944).

213495264 is an abundant number, since it is smaller than the sum of its proper divisors (434886624).

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

213495264 is a wasteful number, since it uses less digits than its factorization.

213495264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2710 (or 2693 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 213495264 is about 14611.4771327200. The cubic root of 213495264 is about 597.6717773175.

The spelling of 213495264 in words is "two hundred thirteen million, four hundred ninety-five thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 72 81 93 96 108 124 144 162 186 216 248 279 288 324 372 432 496 558 648 744 837 864 992 1116 1296 1488 1674 2232 2511 2592 2657 2976 3348 4464 5022 5314 6696 7971 8928 10044 10628 13392 15942 20088 21256 23913 26784 31884 40176 42512 47826 63768 71739 80352 82367 85024 95652 127536 143478 164734 191304 215217 247101 255072 286956 329468 382608 430434 494202 573912 658936 741303 765216 860868 988404 1147824 1317872 1482606 1721736 1976808 2223909 2295648 2635744 2965212 3443472 3953616 4447818 5930424 6671727 6886944 7907232 8895636 11860848 13343454 17791272 23721696 26686908 35582544 53373816 71165088 106747632 213495264