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221240684928 = 2733118585407
BaseRepresentation
bin1100111000001011111…
…0001111000110000000
3210011001122101021111210
43032002332033012000
512111100103404203
6245345255410120
721661356536064
oct3160276170600
9704048337453
10221240684928
118591166516a
1236a65083940
1317b2aa647b3
14a9cb087aa4
155b4d0b5803
hex3382f8f180

221240684928 has 64 divisors (see below), whose sum is σ = 606627717120. Its totient is φ = 71367959040.

The previous prime is 221240684923. The next prime is 221240684933. The reversal of 221240684928 is 829486042122.

It is an interprime number because it is at equal distance from previous prime (221240684923) and next prime (221240684933).

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221240684923) 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 7 ways as a sum of consecutive naturals, for example, 9280800 + ... + 9304607.

It is an arithmetic number, because the mean of its divisors is an integer number (9478558080).

Almost surely, 2221240684928 is an apocalyptic number.

It is an amenable number.

221240684928 is an abundant number, since it is smaller than the sum of its proper divisors (385387032192).

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

221240684928 is a wasteful number, since it uses less digits than its factorization.

221240684928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18585455 (or 18585443 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 48.

The spelling of 221240684928 in words is "two hundred twenty-one billion, two hundred forty million, six hundred eighty-four thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 372 384 496 744 992 1488 1984 2976 3968 5952 11904 18585407 37170814 55756221 74341628 111512442 148683256 223024884 297366512 446049768 576147617 594733024 892099536 1152295234 1189466048 1728442851 1784199072 2304590468 2378932096 3456885702 3568398144 4609180936 6913771404 7136796288 9218361872 13827542808 18436723744 27655085616 36873447488 55310171232 73746894976 110620342464 221240684928