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22982139180 = 2233571113174161
BaseRepresentation
bin10101011001110101…
…111001110100101100
32012022122221122011000
4111121311321310230
5334031411423210
614320255000300
71442342650140
oct253165716454
965278848130
1022982139180
119823900360
124554809090
132223477630
14118039d220
158e7982ac0
hex559d79d2c

22982139180 has 1536 divisors, whose sum is σ = 105833226240. Its totient is φ = 3981312000.

The previous prime is 22982139127. The next prime is 22982139203. The reversal of 22982139180 is 8193128922.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 376756350 + ... + 376756410.

It is an arithmetic number, because the mean of its divisors is an integer number (68901840).

Almost surely, 222982139180 is an apocalyptic number.

22982139180 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 22982139180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52916613120).

22982139180 is an abundant number, since it is smaller than the sum of its proper divisors (82851087060).

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

22982139180 is a wasteful number, since it uses less digits than its factorization.

22982139180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 22982139180 in words is "twenty-two billion, nine hundred eighty-two million, one hundred thirty-nine thousand, one hundred eighty".