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22974148000 = 2553232979109
BaseRepresentation
bin10101011001010111…
…011010110110100000
32012022002220122022101
4111121113122312200
5334022340214000
614315411420144
71442215015216
oct253127326640
965262818271
1022974148000
11981a342481
124551bb4654
13222190a21b
14117d2bccb6
158e6e04e6a
hex5595dada0

22974148000 has 384 divisors, whose sum is σ = 62270208000. Its totient is φ = 8302694400.

The previous prime is 22974147983. The next prime is 22974148009. The reversal of 22974148000 is 84147922.

It is a super-2 number, since 2×229741480002 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22974148009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 210771946 + ... + 210772054.

It is an arithmetic number, because the mean of its divisors is an integer number (162162000).

Almost surely, 222974148000 is an apocalyptic number.

22974148000 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 22974148000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31135104000).

22974148000 is an abundant number, since it is smaller than the sum of its proper divisors (39296060000).

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

22974148000 is a wasteful number, since it uses less digits than its factorization.

22974148000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The spelling of 22974148000 in words is "twenty-two billion, nine hundred seventy-four million, one hundred forty-eight thousand".