Search a number
-
+
22563232365504 = 26323151229147761
BaseRepresentation
bin1010010000101011010010…
…11100110011101111000000
32221220000122110101001111110
411020111221130303233000
510424133444441144004
6115553223355243320
74516065634444215
oct510255134635700
987800573331443
1022563232365504
11720a0164a2426
122644aa4a49540
13c7891bcb445c
145800cdbd5b0c
15291dc4d8c589
hex148569733bc0

22563232365504 has 224 divisors, whose sum is σ = 62980940067840. Its totient is φ = 7115175936000.

The previous prime is 22563232365503. The next prime is 22563232365517. The reversal of 22563232365504 is 40556323236522.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22563232365503) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 152626984 + ... + 152774744.

Almost surely, 222563232365504 is an apocalyptic number.

22563232365504 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 22563232365504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31490470033920).

22563232365504 is an abundant number, since it is smaller than the sum of its proper divisors (40417707702336).

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

22563232365504 is a wasteful number, since it uses less digits than its factorization.

22563232365504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148179 (or 148169 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 48.

The spelling of 22563232365504 in words is "twenty-two trillion, five hundred sixty-three billion, two hundred thirty-two million, three hundred sixty-five thousand, five hundred four".