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199631856 = 24338310859
BaseRepresentation
bin10111110011000…
…10001111110000
3111220122100102110
423321202033300
5402101204411
631450445320
74642562034
oct1371421760
9456570373
10199631856
11a2761406
1256a33840
1332488878
141c7281c4
15127d52a6
hexbe623f0

199631856 has 40 divisors (see below), whose sum is σ = 517109760. Its totient is φ = 66364096.

The previous prime is 199631851. The next prime is 199631891. The reversal of 199631856 is 658136991.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199631851) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12955 + ... + 23813.

It is an arithmetic number, because the mean of its divisors is an integer number (12927744).

Almost surely, 2199631856 is an apocalyptic number.

199631856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

199631856 is an abundant number, since it is smaller than the sum of its proper divisors (317477904).

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

199631856 is a wasteful number, since it uses less digits than its factorization.

199631856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11253 (or 11247 counting only the distinct ones).

The product of its digits is 349920, while the sum is 48.

The square root of 199631856 is about 14129.1137726327. The cubic root of 199631856 is about 584.4445073928. Note that the first 3 decimals are identical.

The spelling of 199631856 in words is "one hundred ninety-nine million, six hundred thirty-one thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 383 766 1149 1532 2298 3064 4596 6128 9192 10859 18384 21718 32577 43436 65154 86872 130308 173744 260616 521232 4158997 8317994 12476991 16635988 24953982 33271976 49907964 66543952 99815928 199631856