Search a number
-
+
38222446080 = 293572132601
BaseRepresentation
bin100011100110001111…
…000011111000000000
310122122210021102221010
4203212033003320000
51111234421233310
625320435400520
72522121300600
oct434617037000
9118583242833
1038222446080
1115234635515
1274a8753140
1337b1a21100
141bc8498c00
15eda914320
hex8e63c3e00

38222446080 has 720 divisors, whose sum is σ = 154173351024. Its totient is φ = 8051097600.

The previous prime is 38222446019. The next prime is 38222446127. The reversal of 38222446080 is 8064422283.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 63597780 + ... + 63598380.

Almost surely, 238222446080 is an apocalyptic number.

38222446080 is a gapful number since it is divisible by the number (30) 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 38222446080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77086675512).

38222446080 is an abundant number, since it is smaller than the sum of its proper divisors (115950904944).

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

38222446080 is a wasteful number, since it uses less digits than its factorization.

38222446080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 39.

The spelling of 38222446080 in words is "thirty-eight billion, two hundred twenty-two million, four hundred forty-six thousand, eighty".