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213003232 = 25133183199
BaseRepresentation
bin11001011001000…
…10101111100000
3112211210200111121
430230202233200
5414012100412
633045222024
75164332451
oct1454425740
9484720447
10213003232
11aa264532
125b401914
133518ab20
1420409128
1513a77107
hexcb22be0

213003232 has 96 divisors (see below), whose sum is σ = 474163200. Its totient is φ = 93519360.

The previous prime is 213003229. The next prime is 213003283. The reversal of 213003232 is 232300312.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent 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 15 ways as a sum of consecutive naturals, for example, 1070269 + ... + 1070467.

It is an arithmetic number, because the mean of its divisors is an integer number (4939200).

Almost surely, 2213003232 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 213003232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237081600).

213003232 is an abundant number, since it is smaller than the sum of its proper divisors (261159968).

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

213003232 is a wasteful number, since it uses less digits than its factorization.

213003232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 213003232 is about 14594.6302454019. The cubic root of 213003232 is about 597.2122825939.

Adding to 213003232 its reverse (232300312), we get a palindrome (445303544).

The spelling of 213003232 in words is "two hundred thirteen million, three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 83 104 124 166 199 208 248 332 398 403 416 496 664 796 806 992 1079 1328 1592 1612 2158 2573 2587 2656 3184 3224 4316 5146 5174 6169 6368 6448 8632 10292 10348 12338 12896 16517 17264 20584 20696 24676 33034 33449 34528 41168 41392 49352 66068 66898 80197 82336 82784 98704 132136 133796 160394 197408 214721 264272 267592 320788 429442 512027 528544 535184 641576 858884 1024054 1070368 1283152 1717768 2048108 2566304 3435536 4096216 6656351 6871072 8192432 13312702 16384864 26625404 53250808 106501616 213003232