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222338164048 = 247211213180289
BaseRepresentation
bin1100111100010001100…
…0110010010101010000
3210020220010110222211121
43033010120302111100
512120322032222143
6250050222252024
722030514132500
oct3170430622520
9706803428747
10222338164048
1186325108500
1237110727014
1317c74241c20
14aa92b2ba00
155bb45ee7ed
hex33c4632550

222338164048 has 180 divisors, whose sum is σ = 593181864660. Its totient is φ = 79961333760.

The previous prime is 222338164019. The next prime is 222338164067. The reversal of 222338164048 is 840461833222.

It can be written as a sum of positive squares in 2 ways, for example, as 112914816784 + 109423347264 = 336028^2 + 330792^2 .

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 222338163995 and 222338164013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1143088 + ... + 1323376.

Almost surely, 2222338164048 is an apocalyptic number.

222338164048 is a gapful number since it is divisible by the number (28) 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 222338164048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296590932330).

222338164048 is an abundant number, since it is smaller than the sum of its proper divisors (370843700612).

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

222338164048 is a wasteful number, since it uses less digits than its factorization.

222338164048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180346 (or 180322 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 43.

The spelling of 222338164048 in words is "two hundred twenty-two billion, three hundred thirty-eight million, one hundred sixty-four thousand, forty-eight".