Search a number
-
+
22089811968 = 21135717373
BaseRepresentation
bin10100100100101001…
…111100100000000000
32010000110212201100000
4110210221330200000
5330214442440333
614051541200000
71411256206110
oct244451744000
963013781300
1022089811968
119406139754
124345a00000
132110639473
1410d7a7d040
1589446e713
hex524a7c800

22089811968 has 576 divisors, whose sum is σ = 80276676480. Its totient is φ = 5924192256.

The previous prime is 22089811957. The next prime is 22089811981. The reversal of 22089811968 is 86911898022.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59221830 + ... + 59222202.

It is an arithmetic number, because the mean of its divisors is an integer number (139369230).

Almost surely, 222089811968 is an apocalyptic number.

22089811968 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 22089811968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40138338240).

22089811968 is an abundant number, since it is smaller than the sum of its proper divisors (58186864512).

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

22089811968 is an equidigital number, since it uses as much as digits as its factorization.

22089811968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 54.

The spelling of 22089811968 in words is "twenty-two billion, eighty-nine million, eight hundred eleven thousand, nine hundred sixty-eight".