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222153655140 = 2232531101401983
BaseRepresentation
bin1100111011100101100…
…0111100001101100100
3210020102021021222012100
43032321120330031210
512114432313431030
6250020031452100
722023113624604
oct3167130741544
9706367258170
10222153655140
118623aa461aa
123707a987030
1317c44c4c961
14aa7641cc04
155ba3305360
hex33b963c364

222153655140 has 288 divisors, whose sum is σ = 704959137792. Its totient is φ = 56563200000.

The previous prime is 222153655127. The next prime is 222153655169. The reversal of 222153655140 is 41556351222.

222153655140 is a `hidden beast` number, since 2 + 22 + 15 + 36 + 551 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 222153655095 and 222153655104.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 225995089 + ... + 225996071.

It is an arithmetic number, because the mean of its divisors is an integer number (2447774784).

Almost surely, 2222153655140 is an apocalyptic number.

222153655140 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 222153655140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352479568896).

222153655140 is an abundant number, since it is smaller than the sum of its proper divisors (482805482652).

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

222153655140 is a wasteful number, since it uses less digits than its factorization.

222153655140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1531 (or 1526 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 222153655140 in words is "two hundred twenty-two billion, one hundred fifty-three million, six hundred fifty-five thousand, one hundred forty".