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212347008 = 27356827
BaseRepresentation
bin11001010100000…
…10100010000000
3112210120100100000
430222002202000
5413330101013
633023200000
75155630326
oct1452024200
9483510300
10212347008
11a99564a5
125b146000
1334cbb223
14202b7d16
1513997973
hexca82880

212347008 has 96 divisors (see below), whose sum is σ = 633774960. Its totient is φ = 70771968.

The previous prime is 212347007. The next prime is 212347027. The reversal of 212347008 is 800743212.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (212347007) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27691 + ... + 34517.

Almost surely, 2212347008 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 212347008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316887480).

212347008 is an abundant number, since it is smaller than the sum of its proper divisors (421427952).

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

212347008 is an frugal number, since it uses more digits than its factorization.

212347008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6856 (or 6832 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 212347008 is about 14572.1312099500. The cubic root of 212347008 is about 596.5983510867.

The spelling of 212347008 in words is "two hundred twelve million, three hundred forty-seven thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 288 324 384 432 486 576 648 864 972 1152 1296 1728 1944 2592 3456 3888 5184 6827 7776 10368 13654 15552 20481 27308 31104 40962 54616 61443 81924 109232 122886 163848 184329 218464 245772 327696 368658 436928 491544 552987 655392 737316 873856 983088 1105974 1310784 1474632 1658961 1966176 2211948 2621568 2949264 3317922 3932352 4423896 5898528 6635844 7864704 8847792 11797056 13271688 17695584 23594112 26543376 35391168 53086752 70782336 106173504 212347008