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221413014240 = 253511371133359
BaseRepresentation
bin1100111000110100111…
…1100111101011100000
3210011111122122111212220
43032031033213223200
512111423212423430
6245414333151040
721665551365645
oct3161517475340
9704448574786
10221413014240
118599a968790
1236ab292b480
1317b576810c2
14aa05d05dcc
155b5d2a6110
hex338d3e7ae0

221413014240 has 192 divisors, whose sum is σ = 781419985920. Its totient is φ = 52225136640.

The previous prime is 221413014233. The next prime is 221413014287. The reversal of 221413014240 is 42410314122.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 221413014240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 371320 + ... + 762039.

It is an arithmetic number, because the mean of its divisors is an integer number (4069895760).

Almost surely, 2221413014240 is an apocalyptic number.

221413014240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221413014240 is an abundant number, since it is smaller than the sum of its proper divisors (560006971680).

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

221413014240 is a wasteful number, since it uses less digits than its factorization.

221413014240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133425 (or 1133417 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 221413014240 its reverse (42410314122), we get a palindrome (263823328362).

The spelling of 221413014240 in words is "two hundred twenty-one billion, four hundred thirteen million, fourteen thousand, two hundred forty".