Search a number
-
+
22450012835328 = 2939131929311
BaseRepresentation
bin1010001101011000011010…
…00010100100111000000000
32221111012101222212000000000
411012230031002210320000
510420310111241212303
6115425221000000000
74504650150352341
oct506541502447000
987435358760000
1022450012835328
117175aa6a7a681
122626b67a60000
13c6b04779b410
1457882d1c20c8
1528de9a2d9da3
hex146b0d0a4e00

22450012835328 has 1600 divisors, whose sum is σ = 79156158681600. Its totient is φ = 6298156892160.

The previous prime is 22450012835323. The next prime is 22450012835351. The reversal of 22450012835328 is 82353821005422.

22450012835328 is a `hidden beast` number, since 2 + 2 + 4 + 500 + 12 + 83 + 53 + 2 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22450012835323) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 72186536293 + ... + 72186536603.

It is an arithmetic number, because the mean of its divisors is an integer number (49472599176).

Almost surely, 222450012835328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22450012835328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39578079340800).

22450012835328 is an abundant number, since it is smaller than the sum of its proper divisors (56706145846272).

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

22450012835328 is an frugal number, since it uses more digits than its factorization.

22450012835328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 22450012835328 in words is "twenty-two trillion, four hundred fifty billion, twelve million, eight hundred thirty-five thousand, three hundred twenty-eight".