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197106832 = 24131376917
BaseRepresentation
bin10111011111110…
…01110010010000
3111201220001202001
423233321302100
5400424404312
631320403344
74612244326
oct1357716220
9451801661
10197106832
11a129730a
1256016554
1331ab3480
141c26bd16
1512487057
hexbbf9c90

197106832 has 40 divisors (see below), whose sum is σ = 414332856. Its totient is φ = 90295296.

The previous prime is 197106827. The next prime is 197106839. The reversal of 197106832 is 238601791.

It can be written as a sum of positive squares in 4 ways, for example, as 19044496 + 178062336 = 4364^2 + 13344^2 .

It is a super-2 number, since 2×1971068322 = 77702206442152448, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 197106791 and 197106800.

It is not an unprimeable number, because it can be changed into a prime (197106839) 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, 25038 + ... + 31954.

Almost surely, 2197106832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 197106832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207166428).

197106832 is an abundant number, since it is smaller than the sum of its proper divisors (217226024).

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

197106832 is a wasteful number, since it uses less digits than its factorization.

197106832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7075 (or 7069 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 37.

The square root of 197106832 is about 14039.4740642233. The cubic root of 197106832 is about 581.9699484174.

The spelling of 197106832 in words is "one hundred ninety-seven million, one hundred six thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 52 104 137 208 274 548 1096 1781 2192 3562 6917 7124 13834 14248 27668 28496 55336 89921 110672 179842 359684 719368 947629 1438736 1895258 3790516 7581032 12319177 15162064 24638354 49276708 98553416 197106832