Search a number
-
+
22958911080 = 23335717091777
BaseRepresentation
bin10101011000011101…
…010010111001101000
32012021001020112012000
4111120131102321220
5334004440123310
614314105051000
71441641344550
oct253035227150
965231215160
1022958911080
119811785786
124548a86a60
13221b703ab1
14117b274160
158e58e54c0
hex558752e68

22958911080 has 256 divisors, whose sum is σ = 87562944000. Its totient is φ = 5241729024.

The previous prime is 22958911013. The next prime is 22958911091. The reversal of 22958911080 is 8011985922.

It is a super-2 number, since 2×229589110802 (a number of 22 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12919152 + ... + 12920928.

It is an arithmetic number, because the mean of its divisors is an integer number (342042750).

Almost surely, 222958911080 is an apocalyptic number.

22958911080 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 22958911080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43781472000).

22958911080 is an abundant number, since it is smaller than the sum of its proper divisors (64604032920).

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

22958911080 is a wasteful number, since it uses less digits than its factorization.

22958911080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3513 (or 3503 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

The spelling of 22958911080 in words is "twenty-two billion, nine hundred fifty-eight million, nine hundred eleven thousand, eighty".