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213914652 = 223767191199
BaseRepresentation
bin11001100000000…
…01010000011100
3112220111222201220
430300001100130
5414230232102
633120533340
75205146610
oct1460012034
9486458656
10213914652
11aa827276
125b781250
1335419923
14205a5340
1513ba71bc
hexcc0141c

213914652 has 96 divisors (see below), whose sum is σ = 584908800. Its totient is φ = 59590080.

The previous prime is 213914647. The next prime is 213914683. The reversal of 213914652 is 256419312.

It is a super-2 number, since 2×2139146522 = 91518956680562208, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1074849 + ... + 1075047.

It is an arithmetic number, because the mean of its divisors is an integer number (6092800).

Almost surely, 2213914652 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 213914652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292454400).

213914652 is an abundant number, since it is smaller than the sum of its proper divisors (370994148).

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

213914652 is a wasteful number, since it uses less digits than its factorization.

213914652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 469 counting only the distinct ones).

The product of its digits is 12960, while the sum is 33.

The square root of 213914652 is about 14625.8214128301. The cubic root of 213914652 is about 598.0628748631.

The spelling of 213914652 in words is "two hundred thirteen million, nine hundred fourteen thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 67 84 134 191 199 201 268 382 398 402 469 573 597 764 796 804 938 1146 1194 1337 1393 1407 1876 2292 2388 2674 2786 2814 4011 4179 5348 5572 5628 8022 8358 12797 13333 16044 16716 25594 26666 38009 38391 39999 51188 53332 76018 76782 79998 89579 93331 114027 152036 153564 159996 179158 186662 228054 266063 268737 279993 358316 373324 456108 532126 537474 559986 798189 1064252 1074948 1119972 1596378 2546603 3192756 5093206 7639809 10186412 15279618 17826221 30559236 35652442 53478663 71304884 106957326 213914652