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22123031040 = 29355115361
BaseRepresentation
bin10100100110101000…
…101010101000000000
32010002210101102100000
4110212220222220000
5330301443443130
614055125200000
71412141442525
oct244650525000
963083342300
1022123031040
119422968730
124354b60000
13211749a716
1410dc24914c
15897332260
hex526a2aa00

22123031040 has 960 divisors, whose sum is σ = 89762504832. Its totient is φ = 5175705600.

The previous prime is 22123031033. The next prime is 22123031057. The reversal of 22123031040 is 4013032122.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 362672610 + ... + 362672670.

Almost surely, 222123031040 is an apocalyptic number.

22123031040 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 22123031040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44881252416).

22123031040 is an abundant number, since it is smaller than the sum of its proper divisors (67639473792).

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

22123031040 is an equidigital number, since it uses as much as digits as its factorization.

22123031040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 22123031040 its reverse (4013032122), we get a palindrome (26136063162).

The spelling of 22123031040 in words is "twenty-two billion, one hundred twenty-three million, thirty-one thousand, forty".