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221077450464 = 25313177145393
BaseRepresentation
bin1100110111100100111…
…1100010111011100000
3210010122021020002220220
43031321033202323200
512110231311403324
6245321145003040
721654335215623
oct3157117427340
9703567202826
10221077450464
1185838503752
1236a1a483480
1317b02cb0a60
14a9b3515dba
155b3dabeb79
hex33793e2ee0

221077450464 has 48 divisors (see below), whose sum is σ = 624968950032. Its totient is φ = 68023830528.

The previous prime is 221077450463. The next prime is 221077450481. The reversal of 221077450464 is 464054770122.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221077450463) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 88571449 + ... + 88573944.

It is an arithmetic number, because the mean of its divisors is an integer number (13020186459).

Almost surely, 2221077450464 is an apocalyptic number.

221077450464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

221077450464 is an abundant number, since it is smaller than the sum of its proper divisors (403891499568).

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

221077450464 is a wasteful number, since it uses less digits than its factorization.

221077450464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177145419 (or 177145411 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 42.

The spelling of 221077450464 in words is "two hundred twenty-one billion, seventy-seven million, four hundred fifty thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 177145393 354290786 531436179 708581572 1062872358 1417163144 2125744716 2302890109 2834326288 4251489432 4605780218 5668652576 6908670327 8502978864 9211560436 13817340654 17005957728 18423120872 27634681308 36846241744 55269362616 73692483488 110538725232 221077450464