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221457042303075 = 325219111314653923
BaseRepresentation
bin110010010110100111111100…
…010101101110100001100011
31002001010002100001020121000200
4302112213330111232201203
5213011323010312144300
62102555543304520243
764434512645511165
oct6226477425564143
91061102301217020
10221457042303075
116462144a009207
1220a07a37480083
139675403c14327
143c988141ca935
151a90914ced200
hexc969fc56e863

221457042303075 has 72 divisors (see below), whose sum is σ = 417568304662080. Its totient is φ = 111884008017600.

The previous prime is 221457042303073. The next prime is 221457042303097. The reversal of 221457042303075 is 570303240754122.

221457042303075 is a `hidden beast` number, since 2 + 2 + 1 + 4 + 570 + 4 + 2 + 3 + 0 + 3 + 0 + 75 = 666.

It is not a de Polignac number, because 221457042303075 - 21 = 221457042303073 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 221457042303075.

It is not an unprimeable number, because it can be changed into a prime (221457042303073) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 45258064 + ... + 49911986.

Almost surely, 2221457042303075 is an apocalyptic number.

221457042303075 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

221457042303075 is a deficient number, since it is larger than the sum of its proper divisors (196111262359005).

221457042303075 is a wasteful number, since it uses less digits than its factorization.

221457042303075 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4665089 (or 4665081 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 45.

The spelling of 221457042303075 in words is "two hundred twenty-one trillion, four hundred fifty-seven billion, forty-two million, three hundred three thousand, seventy-five".

Divisors: 1 3 5 9 15 19 25 45 57 75 95 171 225 285 475 855 1425 4275 11131 33393 55655 100179 166965 211489 278275 500895 634467 834825 1057445 1903401 2504475 3172335 4653923 5287225 9517005 13961769 15861675 23269615 41885307 47585025 69808845 88424537 116348075 209426535 265273611 349044225 442122685 795820833 1047132675 1326368055 2210613425 3979104165 6631840275 19895520825 51802816913 155408450739 259014084565 466225352217 777042253695 984253521347 1295070422825 2331126761085 2952760564041 3885211268475 4921267606735 8858281692123 11655633805425 14763802820205 24606338033675 44291408460615 73819014101025 221457042303075