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213252912 = 243647389
BaseRepresentation
bin11001011010111…
…11101100110000
3112212021101000000
430231133230300
5414043043122
633054430000
75166422415
oct1455375460
9485241000
10213252912
11aa415084
125b502300
1335247672
142047210c
1513ac60ac
hexcb5fb30

213252912 has 140 divisors (see below), whose sum is σ = 634289760. Its totient is φ = 69393024.

The previous prime is 213252911. The next prime is 213252961. The reversal of 213252912 is 219252312.

It is a happy number.

213252912 is a `hidden beast` number, since 2 + 132 + 529 + 1 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (213252911) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 548014 + ... + 548402.

Almost surely, 2213252912 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 213252912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317144880).

213252912 is an abundant number, since it is smaller than the sum of its proper divisors (421036848).

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

213252912 is an equidigital number, since it uses as much as digits as its factorization.

213252912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 441 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 213252912 is about 14603.1815711509. The cubic root of 213252912 is about 597.4455399906.

The spelling of 213252912 in words is "two hundred thirteen million, two hundred fifty-two thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 47 48 54 72 81 94 108 141 144 162 188 216 243 282 324 376 389 423 432 486 564 648 729 752 778 846 972 1128 1167 1269 1296 1458 1556 1692 1944 2256 2334 2538 2916 3112 3384 3501 3807 3888 4668 5076 5832 6224 6768 7002 7614 9336 10152 10503 11421 11664 14004 15228 18283 18672 20304 21006 22842 28008 30456 31509 34263 36566 42012 45684 54849 56016 60912 63018 68526 73132 84024 91368 94527 109698 126036 137052 146264 164547 168048 182736 189054 219396 252072 274104 283581 292528 329094 378108 438792 493641 504144 548208 567162 658188 756216 877584 987282 1134324 1316376 1480923 1512432 1974564 2268648 2632752 2961846 3949128 4442769 4537296 5923692 7898256 8885538 11847384 13328307 17771076 23694768 26656614 35542152 53313228 71084304 106626456 213252912