Search a number
-
+
223022049606720 = 2634571319291571093
BaseRepresentation
bin110010101101011001011110…
…000010110011110001000000
31002020122200220002120220210000
4302231121132002303301000
5213212443124144403340
62110154525402440000
764655545203221310
oct6255313602636100
91066580802526700
10223022049606720
1165075135914a31
122101b201203000
139759b732a2b80
143d1047934d440
151abb4ae2e5d30
hexcad65e0b3c40

223022049606720 has 4480 divisors, whose sum is σ = 1070986566988800. Its totient is φ = 42728141094912.

The previous prime is 223022049606709. The next prime is 223022049606737. The reversal of 223022049606720 is 27606940220322.

223022049606720 is a `hidden beast` number, since 2 + 2 + 30 + 2 + 2 + 0 + 4 + 9 + 606 + 7 + 2 + 0 = 666.

It is a super-2 number, since 2×2230220496067202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 204045790494 + ... + 204045791586.

It is an arithmetic number, because the mean of its divisors is an integer number (239059501560).

Almost surely, 2223022049606720 is an apocalyptic number.

223022049606720 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 223022049606720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535493283494400).

223022049606720 is an abundant number, since it is smaller than the sum of its proper divisors (847964517382080).

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

223022049606720 is a wasteful number, since it uses less digits than its factorization.

223022049606720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1347 (or 1328 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 223022049606720 in words is "two hundred twenty-three trillion, twenty-two billion, forty-nine million, six hundred six thousand, seven hundred twenty".