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21992000208 = 2433716774149
BaseRepresentation
bin10100011110110100…
…110100101011010000
32002202122211100211020
4110132310310223100
5330014423001313
614034124515440
71405660626453
oct243664645320
962678740736
1021992000208
119365a02292
1243190abb80
1320c62b0999
1410c8a9b49a
1588aa9d323
hex51ed34ad0

21992000208 has 80 divisors (see below), whose sum is σ = 58698326400. Its totient is φ = 7089735168.

The previous prime is 21992000201. The next prime is 21992000263. The reversal of 21992000208 is 80200029912.

It is a happy number.

It is a Cunningham number, because it is equal to 1482972-1.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21992000201) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 259518 + ... + 333666.

It is an arithmetic number, because the mean of its divisors is an integer number (733729080).

Almost surely, 221992000208 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 21992000208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29349163200).

21992000208 is an abundant number, since it is smaller than the sum of its proper divisors (36706326192).

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

21992000208 is a wasteful number, since it uses less digits than its factorization.

21992000208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74364 (or 74358 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The spelling of 21992000208 in words is "twenty-one billion, nine hundred ninety-two million, two hundred eight", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 148 167 222 296 334 444 501 592 668 888 1002 1336 1776 2004 2672 4008 6179 8016 12358 18537 24716 37074 49432 74148 74149 98864 148296 148298 222447 296592 296596 444894 593192 889788 1186384 1779576 2743513 3559152 5487026 8230539 10974052 12382883 16461078 21948104 24765766 32922156 37148649 43896208 49531532 65844312 74297298 99063064 131688624 148594596 198126128 297189192 458166671 594378384 916333342 1374500013 1832666684 2749000026 3665333368 5498000052 7330666736 10996000104 21992000208