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214994610 = 232531263293
BaseRepresentation
bin11001101000010…
…00111010110010
3112222112212011100
430310020322302
5420014311420
633200025230
75220265305
oct1464107262
9488485140
10214994610
111003a46a6
1260002216
133570735c
14207a6b3c
1513d1c190
hexcd08eb2

214994610 has 96 divisors (see below), whose sum is σ = 581188608. Its totient is φ = 55082880.

The previous prime is 214994609. The next prime is 214994621. The reversal of 214994610 is 16499412.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 733624 + ... + 733916.

It is an arithmetic number, because the mean of its divisors is an integer number (6054048).

Almost surely, 2214994610 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214994610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290594304).

214994610 is an abundant number, since it is smaller than the sum of its proper divisors (366193998).

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

214994610 is a wasteful number, since it uses less digits than its factorization.

214994610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 214994610 is about 14662.6944999887. The cubic root of 214994610 is about 599.0676352437.

The spelling of 214994610 in words is "two hundred fourteen million, nine hundred ninety-four thousand, six hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 90 93 155 186 263 279 293 310 465 526 558 586 789 879 930 1315 1395 1465 1578 1758 2367 2630 2637 2790 2930 3945 4395 4734 5274 7890 8153 8790 9083 11835 13185 16306 18166 23670 24459 26370 27249 40765 45415 48918 54498 73377 77059 81530 81747 90830 122295 136245 146754 154118 163494 231177 244590 272490 366885 385295 408735 462354 693531 733770 770590 817470 1155885 1387062 2311770 2388829 3467655 4777658 6935310 7166487 11944145 14332974 21499461 23888290 35832435 42998922 71664870 107497305 214994610