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200200022099920 = 24543101815716303
BaseRepresentation
bin101101100001010010110011…
…001100111000011111010000
3222020211221020202111112110101
4231201102303030320133100
5202220034121124144140
61545442342005142144
760111655115155003
oct5541226314703720
9866757222445411
10200200022099920
11588763972a9547
121a5541323ba954
138792a2004821b
143761a38a1953a
1518229de42b99a
hexb614b33387d0

200200022099920 has 80 divisors (see below), whose sum is σ = 476336685572352. Its totient is φ = 78209986659840.

The previous prime is 200200022099911. The next prime is 200200022099921. The reversal of 200200022099920 is 29990220002002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 200200022099920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200200022099921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32164489 + ... + 37880791.

Almost surely, 2200200022099920 is an apocalyptic number.

200200022099920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200200022099920 is an abundant number, since it is smaller than the sum of its proper divisors (276136663472432).

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

200200022099920 is a wasteful number, since it uses less digits than its factorization.

200200022099920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5726540 (or 5726534 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 37.

The spelling of 200200022099920 in words is "two hundred trillion, two hundred billion, twenty-two million, ninety-nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 43 80 86 172 215 344 430 688 860 1720 3440 10181 20362 40724 50905 81448 101810 162896 203620 407240 437783 814480 875566 1751132 2188915 3502264 4377830 5716303 7004528 8755660 11432606 17511320 22865212 28581515 35022640 45730424 57163030 91460848 114326060 228652120 245801029 457304240 491602058 983204116 1229005145 1966408232 2458010290 3932816464 4916020580 9832041160 19664082320 58197680843 116395361686 232790723372 290988404215 465581446744 581976808430 931162893488 1163953616860 2327907233720 2502500276249 4655814467440 5005000552498 10010001104996 12512501381245 20020002209992 25025002762490 40040004419984 50050005524980 100100011049960 200200022099920