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22948889925780 = 223357132341247257
BaseRepresentation
bin1010011011111001101000…
…11011101001100010010100
310000020220002121002222221000
411031330310123221202110
511001443311310111110
6120450324031223300
74556000612561160
oct515746433514224
9100226077088830
1022948889925780
11734862a0a5555
1226a7794977b30
13ca60c00a6970
14594a37221ca0
1529be4755e1c0
hex14df346e9894

22948889925780 has 2304 divisors, whose sum is σ = 96357332090880. Its totient is φ = 4405135933440.

The previous prime is 22948889925763. The next prime is 22948889925817. The reversal of 22948889925780 is 8752998884922.

22948889925780 is a `hidden beast` number, since 2 + 2 + 9 + 488 + 8 + 9 + 9 + 2 + 57 + 80 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 22948889925780.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 89295291412 + ... + 89295291668.

It is an arithmetic number, because the mean of its divisors is an integer number (41821758720).

Almost surely, 222948889925780 is an apocalyptic number.

22948889925780 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 22948889925780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48178666045440).

22948889925780 is an abundant number, since it is smaller than the sum of its proper divisors (73408442165100).

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

22948889925780 is a wasteful number, since it uses less digits than its factorization.

22948889925780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 3344302080, while the sum is 81.

The spelling of 22948889925780 in words is "twenty-two trillion, nine hundred forty-eight billion, eight hundred eighty-nine million, nine hundred twenty-five thousand, seven hundred eighty".