Search a number
-
+
22978110960 = 2432572679721
BaseRepresentation
bin10101011001100110…
…100010010111110000
32012022101100222110200
4111121212202113300
5334024344022320
614320032355200
71442263502100
oct253146422760
965271328420
1022978110960
1198215a9952
1245533a5b00
132222696c7c
14117da31200
158e7439290
hex5599a25f0

22978110960 has 360 divisors, whose sum is σ = 91116217296. Its totient is φ = 5173217280.

The previous prime is 22978110941. The next prime is 22978110973. The reversal of 22978110960 is 6901187922.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2358900 + ... + 2368620.

Almost surely, 222978110960 is an apocalyptic number.

22978110960 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 22978110960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45558108648).

22978110960 is an abundant number, since it is smaller than the sum of its proper divisors (68138106336).

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

22978110960 is a wasteful number, since it uses less digits than its factorization.

22978110960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9821 (or 9805 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 22978110960 in words is "twenty-two billion, nine hundred seventy-eight million, one hundred ten thousand, nine hundred sixty".