Search a number
-
+
39228235956 = 223372132232557
BaseRepresentation
bin100100100010001011…
…110110000010110100
310202020212211212021000
4210202023312002310
51120314412022311
630004325123300
72556053334600
oct444213660264
9122225755230
1039228235956
1115700353318
127729559530
133912207750
141c81cb2500
151048d8b056
hex9222f60b4

39228235956 has 288 divisors, whose sum is σ = 128029332480. Its totient is φ = 10295486208.

The previous prime is 39228235927. The next prime is 39228235961. The reversal of 39228235956 is 65953282293.

39228235956 is a `hidden beast` number, since 3 + 9 + 2 + 28 + 23 + 595 + 6 = 666.

It is a super-2 number, since 2×392282359562 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 15340230 + ... + 15342786.

Almost surely, 239228235956 is an apocalyptic number.

39228235956 is a gapful number since it is divisible by the number (36) 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 39228235956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64014666240).

39228235956 is an abundant number, since it is smaller than the sum of its proper divisors (88801096524).

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

39228235956 is a wasteful number, since it uses less digits than its factorization.

39228235956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2820 (or 2805 counting only the distinct ones).

The product of its digits is 6998400, while the sum is 54.

The spelling of 39228235956 in words is "thirty-nine billion, two hundred twenty-eight million, two hundred thirty-five thousand, nine hundred fifty-six".