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219093990200 = 235226916092531
BaseRepresentation
bin1100110000001100000…
…1001111101100111000
3202221112000222212221122
43030003001033230320
512042201030141300
6244352252324412
721554232121631
oct3140301175470
9687460885848
10219093990200
1184a0a933698
1236566173708
13178780a7b27
14a865d24888
155a748c7c85
hex330304fb38

219093990200 has 96 divisors (see below), whose sum is σ = 511807086000. Its totient is φ = 87223065600.

The previous prime is 219093990169. The next prime is 219093990221. The reversal of 219093990200 is 2099390912.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86562935 + ... + 86565465.

Almost surely, 2219093990200 is an apocalyptic number.

219093990200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 219093990200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255903543000).

219093990200 is an abundant number, since it is smaller than the sum of its proper divisors (292713095800).

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

219093990200 is a wasteful number, since it uses less digits than its factorization.

219093990200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4425 (or 4416 counting only the distinct ones).

The product of its (nonzero) digits is 78732, while the sum is 44.

The spelling of 219093990200 in words is "two hundred nineteen billion, ninety-three million, nine hundred ninety thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 269 538 1076 1345 1609 2152 2531 2690 3218 5062 5380 6436 6725 8045 10124 10760 12655 12872 13450 16090 20248 25310 26900 32180 40225 50620 53800 63275 64360 80450 101240 126550 160900 253100 321800 432821 506200 680839 865642 1361678 1731284 2164105 2723356 3404195 3462568 4072379 4328210 5446712 6808390 8144758 8656420 10820525 13616780 16289516 17020975 17312840 20361895 21641050 27233560 32579032 34041950 40723790 43282100 68083900 81447580 86564200 101809475 136167800 162895160 203618950 407237900 814475800 1095469951 2190939902 4381879804 5477349755 8763759608 10954699510 21909399020 27386748775 43818798040 54773497550 109546995100 219093990200