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221312018848 = 25194371119227
BaseRepresentation
bin1100111000011100111…
…0010110100110100000
3210011020121121102020211
43032013032112212200
512111221334100343
6245400324343504
721663214056514
oct3160716264640
9704217542224
10221312018848
1185948957418
1236a84b44b94
1317b3c77c50b
14a9d6736144
155b544a679d
hex33873969a0

221312018848 has 96 divisors (see below), whose sum is σ = 475920023040. Its totient is φ = 100951038720.

The previous prime is 221312018819. The next prime is 221312018869. The reversal of 221312018848 is 848810213122.

It is a self number, because there is not a number n which added to its sum of digits gives 221312018848.

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, 1796611 + ... + 1915837.

It is an arithmetic number, because the mean of its divisors is an integer number (4957500240).

Almost surely, 2221312018848 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 221312018848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237960011520).

221312018848 is an abundant number, since it is smaller than the sum of its proper divisors (254608004192).

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

221312018848 is a wasteful number, since it uses less digits than its factorization.

221312018848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119370 (or 119362 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 40.

The spelling of 221312018848 in words is "two hundred twenty-one billion, three hundred twelve million, eighteen thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 16 19 32 38 43 71 76 86 142 152 172 284 304 344 568 608 688 817 1136 1349 1376 1634 2272 2698 3053 3268 5396 6106 6536 10792 12212 13072 21584 24424 26144 43168 48848 58007 97696 116014 119227 232028 238454 464056 476908 928112 953816 1856224 1907632 2265313 3815264 4530626 5126761 8465117 9061252 10253522 16930234 18122504 20507044 33860468 36245008 41014088 67720936 72490016 82028176 97408459 135441872 160837223 164056352 194816918 270883744 321674446 364000031 389633836 643348892 728000062 779267672 1286697784 1456000124 1558535344 2573395568 2912000248 3117070688 5146791136 5824000496 6916000589 11648000992 13832001178 27664002356 55328004712 110656009424 221312018848