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222001620461640 = 2335561211354319
BaseRepresentation
bin110010011110100011000111…
…101110100010100001001000
31002010001010222122010101200000
4302132203013232202201020
5213044233304314233030
62104054045252443000
764522042052465445
oct6236430756424110
91063033878111600
10222001620461640
11648113a41a8a68
1220a95499619460
1396b4880755306
143cb6d15a309cc
151a9eb892e4860
hexc9e8c7ba2848

222001620461640 has 576 divisors, whose sum is σ = 767440734278400. Its totient is φ = 57713561579520.

The previous prime is 222001620461597. The next prime is 222001620461651. The reversal of 222001620461640 is 46164026100222.

222001620461640 is a `hidden beast` number, since 2 + 2 + 2 + 0 + 0 + 1 + 6 + 2 + 0 + 4 + 6 + 1 + 640 = 666.

It is a super-2 number, since 2×2220016204616402 (a number of 29 digits) contains 22 as substring.

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 = 222001620461595 and 222001620461604.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4086970401 + ... + 4087024719.

It is an arithmetic number, because the mean of its divisors is an integer number (1332362385900).

Almost surely, 2222001620461640 is an apocalyptic number.

222001620461640 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 222001620461640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383720367139200).

222001620461640 is an abundant number, since it is smaller than the sum of its proper divisors (545439113816760).

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

222001620461640 is a wasteful number, since it uses less digits than its factorization.

222001620461640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54580 (or 54503 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Adding to 222001620461640 its reverse (46164026100222), we get a palindrome (268165646561862).

The spelling of 222001620461640 in words is "two hundred twenty-two trillion, one billion, six hundred twenty million, four hundred sixty-one thousand, six hundred forty".