Search a number
-
+
307227656192 = 21715312
BaseRepresentation
bin1000111100010000011…
…00100000000000000000
31002101000020001000010012
410132020030200000000
520013200234444232
6353045522524052
731124246663312
oct4361014400000
91071006030105
10307227656192
11109327003386
124b661b06628
1322c82353052
1410c26ddd7b2
157ed1e969b2
hex4788320000

307227656192 has 54 divisors (see below), whose sum is σ = 614854571499. Its totient is φ = 153513492480.

The previous prime is 307227656107. The next prime is 307227656233. The reversal of 307227656192 is 291656722703.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 153613828096 + 153613828096 = 391936^2 + 391936^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=391936.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 307227656192.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 200670467 + ... + 200671997.

Almost surely, 2307227656192 is an apocalyptic number.

307227656192 is a gapful number since it is divisible by the number (32) 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 307227656192

307227656192 is an abundant number, since it is smaller than the sum of its proper divisors (307626915307).

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

307227656192 is an frugal number, since it uses more digits than its factorization.

307227656192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3096 (or 1533 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 50.

Multiplying 307227656192 by its sum of digits (50), we get a square (15361382809600 = 39193602).

The spelling of 307227656192 in words is "three hundred seven billion, two hundred twenty-seven million, six hundred fifty-six thousand, one hundred ninety-two".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 1531 2048 3062 4096 6124 8192 12248 16384 24496 32768 48992 65536 97984 131072 195968 391936 783872 1567744 2343961 3135488 4687922 6270976 9375844 12541952 18751688 25083904 37503376 50167808 75006752 100335616 150013504 200671232 300027008 600054016 1200108032 2400216064 4800432128 9600864256 19201728512 38403457024 76806914048 153613828096 307227656192