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214256339720 = 23533116182503
BaseRepresentation
bin1100011110001010101…
…1000100101100001000
3202111000220002210001122
43013202223010230020
512002244110332340
6242232240534412
721323320560443
oct3074253045410
9674026083048
10214256339720
1182958133245
1235636021408
1317286a80257
14a52764465a
15588ed3edb5
hex31e2ac4b08

214256339720 has 32 divisors (see below), whose sum is σ = 483533219520. Its totient is φ = 85443610560.

The previous prime is 214256339681. The next prime is 214256339747. The reversal of 214256339720 is 27933652412.

It is a super-5 number, since 5×2142563397205 (a number of 58 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8078012 + ... + 8104491.

It is an arithmetic number, because the mean of its divisors is an integer number (15110413110).

Almost surely, 2214256339720 is an apocalyptic number.

214256339720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214256339720 is an abundant number, since it is smaller than the sum of its proper divisors (269276879800).

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

214256339720 is a wasteful number, since it uses less digits than its factorization.

214256339720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16182845 (or 16182841 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 44.

The spelling of 214256339720 in words is "two hundred fourteen billion, two hundred fifty-six million, three hundred thirty-nine thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 331 662 1324 1655 2648 3310 6620 13240 16182503 32365006 64730012 80912515 129460024 161825030 323650060 647300120 5356408493 10712816986 21425633972 26782042465 42851267944 53564084930 107128169860 214256339720