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22951190106 = 2361319101631
BaseRepresentation
bin10101010111111111…
…110101111001011010
32012020111201021000000
4111113333311321122
5334001001040411
614313231353430
71441515616455
oct252777657132
965214637000
1022951190106
119808391909
124546382876
132219c2c680
14117a22449c
158e4dbc956
hex557ff5e5a

22951190106 has 224 divisors, whose sum is σ = 59185687680. Its totient is φ = 6613488000.

The previous prime is 22951190099. The next prime is 22951190107. The reversal of 22951190106 is 60109115922.

It is not an unprimeable number, because it can be changed into a prime (22951190107) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 36372411 + ... + 36373041.

It is an arithmetic number, because the mean of its divisors is an integer number (264221820).

Almost surely, 222951190106 is an apocalyptic number.

22951190106 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 22951190106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29592843840).

22951190106 is an abundant number, since it is smaller than the sum of its proper divisors (36234497574).

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

22951190106 is a wasteful number, since it uses less digits than its factorization.

22951190106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

The spelling of 22951190106 in words is "twenty-two billion, nine hundred fifty-one million, one hundred ninety thousand, one hundred six".