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2357213216 = 25314373757
BaseRepresentation
bin1000110010000000…
…0011100000100000
320002021111211122012
42030200003200200
514311421310331
61025523132052
7112261660511
oct21440034040
96067454565
102357213216
11aaa6491a6
12559514028
132b7487827
141850c2a08
15dbe2382b
hex8c803820

2357213216 has 96 divisors (see below), whose sum is σ = 4975584768. Its totient is φ = 1097349120.

The previous prime is 2357213203. The next prime is 2357213219. The reversal of 2357213216 is 6123127532.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (2357213219) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3113510 + ... + 3114266.

It is an arithmetic number, because the mean of its divisors is an integer number (51829008).

Almost surely, 22357213216 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 2357213216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2487792384).

2357213216 is an abundant number, since it is smaller than the sum of its proper divisors (2618371552).

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

2357213216 is a wasteful number, since it uses less digits than its factorization.

2357213216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 914 (or 906 counting only the distinct ones).

The product of its digits is 15120, while the sum is 32.

The square root of 2357213216 is about 48551.1402131814. The cubic root of 2357213216 is about 1330.8617883186.

The spelling of 2357213216 in words is "two billion, three hundred fifty-seven million, two hundred thirteen thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 31 32 43 62 73 86 124 146 172 248 292 344 496 584 688 757 992 1168 1333 1376 1514 2263 2336 2666 3028 3139 4526 5332 6056 6278 9052 10664 12112 12556 18104 21328 23467 24224 25112 32551 36208 42656 46934 50224 55261 65102 72416 93868 97309 100448 110522 130204 187736 194618 221044 260408 375472 389236 442088 520816 750944 778472 884176 1009081 1041632 1556944 1713091 1768352 2018162 2376223 3113888 3426182 4036324 4752446 6852364 8072648 9504892 13704728 16145296 19009784 27409456 32290592 38019568 54818912 73662913 76039136 147325826 294651652 589303304 1178606608 2357213216