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22919988000 = 25353713139151
BaseRepresentation
bin10101010110001000…
…110100001100100000
32012011100000000202110
4111112020310030200
5333420004104000
614310154515320
71440656453310
oct252610641440
965140000673
1022919988000
1197a1810248
124537a35b40
1322136264a0
141176021440
158e22a7850
hex556234320

22919988000 has 768 divisors, whose sum is σ = 93694648320. Its totient is φ = 4769280000.

The previous prime is 22919987989. The next prime is 22919988001. The reversal of 22919988000 is 88991922.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (22919988001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 151787925 + ... + 151788075.

It is an arithmetic number, because the mean of its divisors is an integer number (121998240).

Almost surely, 222919988000 is an apocalyptic number.

22919988000 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 22919988000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46847324160).

22919988000 is an abundant number, since it is smaller than the sum of its proper divisors (70774660320).

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

22919988000 is a wasteful number, since it uses less digits than its factorization.

22919988000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 48.

The spelling of 22919988000 in words is "twenty-two billion, nine hundred nineteen million, nine hundred eighty-eight thousand".