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213251232 = 25331131547
BaseRepresentation
bin11001011010111…
…11010010100000
3112212021021200210
430231133102200
5414043014412
633054414120
75166414465
oct1455372240
9485237623
10213251232
11aa413897
125b501340
133524697c
142047166c
1513ac583c
hexcb5f4a0

213251232 has 96 divisors (see below), whose sum is σ = 583317504. Its totient is φ = 68140800.

The previous prime is 213251219. The next prime is 213251249. The reversal of 213251232 is 232152312.

213251232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 213251199 and 213251208.

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, 389583 + ... + 390129.

It is an arithmetic number, because the mean of its divisors is an integer number (6076224).

Almost surely, 2213251232 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 213251232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291658752).

213251232 is an abundant number, since it is smaller than the sum of its proper divisors (370066272).

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

213251232 is a wasteful number, since it uses less digits than its factorization.

213251232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722 (or 714 counting only the distinct ones).

The product of its digits is 720, while the sum is 21.

The square root of 213251232 is about 14603.1240493259. The cubic root of 213251232 is about 597.4439711005.

The spelling of 213251232 in words is "two hundred thirteen million, two hundred fifty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 131 186 248 262 372 393 496 524 547 744 786 992 1048 1094 1488 1572 1641 2096 2188 2976 3144 3282 4061 4192 4376 6288 6564 8122 8752 12183 12576 13128 16244 16957 17504 24366 26256 32488 33914 48732 50871 52512 64976 67828 71657 97464 101742 129952 135656 143314 194928 203484 214971 271312 286628 389856 406968 429942 542624 573256 813936 859884 1146512 1627872 1719768 2221367 2293024 3439536 4442734 6664101 6879072 8885468 13328202 17770936 26656404 35541872 53312808 71083744 106625616 213251232