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22048879104 = 293772997
BaseRepresentation
bin10100100010001101…
…110011001000000000
32002220121212010000000
4110202031303020000
5330124003112404
614043520000000
71410251244240
oct244215631000
962817763000
1022048879104
11939502123a
124334160000
132105007135
1410d2465b20
15890a86339
hex522373200

22048879104 has 640 divisors, whose sum is σ = 78919948800. Its totient is φ = 6019743744.

The previous prime is 22048879093. The next prime is 22048879123. The reversal of 22048879104 is 40197884022.

It is a self number, because there is not a number n which added to its sum of digits gives 22048879104.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 227307984 + ... + 227308080.

It is an arithmetic number, because the mean of its divisors is an integer number (123312420).

Almost surely, 222048879104 is an apocalyptic number.

22048879104 is a gapful number since it is divisible by the number (24) 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 22048879104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39459974400).

22048879104 is an abundant number, since it is smaller than the sum of its proper divisors (56871069696).

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

22048879104 is an frugal number, since it uses more digits than its factorization.

22048879104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 22048879104 in words is "twenty-two billion, forty-eight million, eight hundred seventy-nine thousand, one hundred four".