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221274474240 = 2835195357223
BaseRepresentation
bin1100111000010011111…
…1001000011100000000
3210011010222221221201210
43032010333020130000
512111132231133430
6245352503530120
721662246666151
oct3160477103400
9704128857653
10221274474240
1185929743616
1236a74459940
1317b34a65481
14a9d1761928
155b5103c2b0
hex3384fc8700

221274474240 has 288 divisors, whose sum is σ = 757938746880. Its totient is φ = 54845227008.

The previous prime is 221274474229. The next prime is 221274474241. The reversal of 221274474240 is 42474472122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221274474241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3838269 + ... + 3895491.

It is an arithmetic number, because the mean of its divisors is an integer number (2631731760).

Almost surely, 2221274474240 is an apocalyptic number.

221274474240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221274474240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378969373440).

221274474240 is an abundant number, since it is smaller than the sum of its proper divisors (536664272640).

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

221274474240 is a wasteful number, since it uses less digits than its factorization.

221274474240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57319 (or 57305 counting only the distinct ones).

The product of its (nonzero) digits is 200704, while the sum is 39.

The spelling of 221274474240 in words is "two hundred twenty-one billion, two hundred seventy-four million, four hundred seventy-four thousand, two hundred forty".