Search a number
-
+
38223898440 = 233572131014951
BaseRepresentation
bin100011100110010100…
…100110011101001000
310122122220000020012020
4203212110212131020
51111240304222230
625320530444440
72522136530100
oct434624463510
9118586006166
1038223898440
1115235437712
1274a9133720
1337b210c1b0
141bc8756200
15edaaee810
hex8e6526748

38223898440 has 384 divisors, whose sum is σ = 145106277120. Its totient is φ = 7983360000.

The previous prime is 38223898417. The next prime is 38223898477. The reversal of 38223898440 is 4489832283.

It is a happy number.

It is a super-2 number, since 2×382238984402 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7717965 + ... + 7722915.

It is an arithmetic number, because the mean of its divisors is an integer number (377880930).

Almost surely, 238223898440 is an apocalyptic number.

38223898440 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 38223898440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72553138560).

38223898440 is an abundant number, since it is smaller than the sum of its proper divisors (106882378680).

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

38223898440 is a wasteful number, since it uses less digits than its factorization.

38223898440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5093 (or 5082 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 51.

The spelling of 38223898440 in words is "thirty-eight billion, two hundred twenty-three million, eight hundred ninety-eight thousand, four hundred forty".