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214457992 = 23717474793
BaseRepresentation
bin11001100100001…
…01111010001000
3112221112121001121
430302011322020
5414400123432
633140325024
75212601650
oct1462057210
9487477047
10214457992
11100068511
125b9a3774
133557a028
14206a7360
1513c63197
hexcc85e88

214457992 has 64 divisors (see below), whose sum is σ = 497041920. Its totient is φ = 84645888.

The previous prime is 214457983. The next prime is 214458007. The reversal of 214457992 is 299754412.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42348 + ... + 47140.

It is an arithmetic number, because the mean of its divisors is an integer number (7766280).

Almost surely, 2214457992 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 214457992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248520960).

214457992 is an abundant number, since it is smaller than the sum of its proper divisors (282583928).

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

214457992 is a wasteful number, since it uses less digits than its factorization.

214457992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4870 (or 4866 counting only the distinct ones).

The product of its digits is 181440, while the sum is 43.

The square root of 214457992 is about 14644.3843161807. The cubic root of 214457992 is about 598.5688036576.

The spelling of 214457992 in words is "two hundred fourteen million, four hundred fifty-seven thousand, nine hundred ninety-two".

Divisors: 1 2 4 7 8 14 17 28 34 47 56 68 94 119 136 188 238 329 376 476 658 799 952 1316 1598 2632 3196 4793 5593 6392 9586 11186 19172 22372 33551 38344 44744 67102 81481 134204 162962 225271 268408 325924 450542 570367 651848 901084 1140734 1576897 1802168 2281468 3153794 3829607 4562936 6307588 7659214 12615176 15318428 26807249 30636856 53614498 107228996 214457992