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202200999957 = 321131140916057
BaseRepresentation
bin1011110001010000011…
…1100110100000010101
3201022220201212001211100
42330110013212200111
511303101423444312
6232520113100313
720415505066335
oct2742407464025
9638821761740
10202200999957
1178831214030
1233230857699
13160b5310a08
149b0253d0c5
1553d67dc5dc
hex2f141e6815

202200999957 has 48 divisors (see below), whose sum is σ = 320445740160. Its totient is φ = 121845772800.

The previous prime is 202200999947. The next prime is 202201000037. The reversal of 202200999957 is 759999002202.

It is not a de Polignac number, because 202200999957 - 222 = 202196805653 is a prime.

It is a super-2 number, since 2×2022009999572 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202200999907) 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 47 ways as a sum of consecutive naturals, for example, 12584673 + ... + 12600729.

It is an arithmetic number, because the mean of its divisors is an integer number (6675952920).

Almost surely, 2202200999957 is an apocalyptic number.

It is an amenable number.

202200999957 is a deficient number, since it is larger than the sum of its proper divisors (118244740203).

202200999957 is a wasteful number, since it uses less digits than its factorization.

202200999957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16794 (or 16791 counting only the distinct ones).

The product of its (nonzero) digits is 1837080, while the sum is 54.

The spelling of 202200999957 in words is "two hundred two billion, two hundred million, nine hundred ninety-nine thousand, nine hundred fifty-seven".

Divisors: 1 3 9 11 33 99 311 409 933 1227 2799 3421 3681 4499 10263 13497 16057 30789 40491 48171 127199 144513 176627 381597 529881 1144791 1399189 1589643 4197567 4993727 6567313 12592701 14981181 19701939 44943543 54930997 59105817 72240443 164792991 216721329 494378973 650163987 2042434343 6127303029 18381909087 22466777773 67400333319 202200999957