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196100352 = 283472193
BaseRepresentation
bin10111011000001…
…00000100000000
3111122222221010000
423230010010000
5400200202402
631243040000
74600553100
oct1354040400
9448887100
10196100352
11a076a108
1255810000
1331820316
141c089200
1512338c1c
hexbb04100

196100352 has 270 divisors, whose sum is σ = 683727198. Its totient is φ = 55738368.

The previous prime is 196100351. The next prime is 196100363. The reversal of 196100352 is 253001691.

196100352 is a `hidden beast` number, since 19 + 610 + 0 + 35 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 146313216 + 49787136 = 12096^2 + 7056^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (196100351) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1015968 + ... + 1016160.

Almost surely, 2196100352 is an apocalyptic number.

196100352 is a gapful number since it is divisible by the number (12) 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 196100352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341863599).

196100352 is an abundant number, since it is smaller than the sum of its proper divisors (487626846).

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

196100352 is an equidigital number, since it uses as much as digits as its factorization.

196100352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 196100352 is about 14003.5835413654. The cubic root of 196100352 is about 580.9776930517.

The spelling of 196100352 in words is "one hundred ninety-six million, one hundred thousand, three hundred fifty-two".