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22993921104 = 24372114153409
BaseRepresentation
bin10101011010100010…
…110110010001010000
32012100111010012220120
4111122202312101100
5334042420433404
614321355310240
71442545050600
oct253242662120
965314105816
1022993921104
11982a518290
12455874b380
132225a4129b
141181b88c00
158e8a0d9d9
hex55a8b6450

22993921104 has 480 divisors, whose sum is σ = 78868702080. Its totient is φ = 5702860800.

The previous prime is 22993921057. The next prime is 22993921109. The reversal of 22993921104 is 40112939922.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22993921109) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 56219652 + ... + 56220060.

It is an arithmetic number, because the mean of its divisors is an integer number (164309796).

Almost surely, 222993921104 is an apocalyptic number.

22993921104 is a gapful number since it is divisible by the number (24) 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 22993921104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39434351040).

22993921104 is an abundant number, since it is smaller than the sum of its proper divisors (55874780976).

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

22993921104 is a wasteful number, since it uses less digits than its factorization.

22993921104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 42.

The spelling of 22993921104 in words is "twenty-two billion, nine hundred ninety-three million, nine hundred twenty-one thousand, one hundred four".