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10192196 = 2272149349
BaseRepresentation
bin100110111000…
…010101000100
3201011211001202
4212320111010
510102122241
61002242032
7152426600
oct46702504
921154052
1010192196
115831603
1234b6318
13215b1b1
1414d4500
15d64d9b
hex9b8544

10192196 has 36 divisors (see below), whose sum is σ = 20947500. Its totient is φ = 4326336.

The previous prime is 10192157. The next prime is 10192199. The reversal of 10192196 is 69129101.

It can be written as a sum of positive squares in 2 ways, for example, as 4120900 + 6071296 = 2030^2 + 2464^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10192199) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29030 + ... + 29378.

It is an arithmetic number, because the mean of its divisors is an integer number (581875).

Almost surely, 210192196 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 10192196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10473750).

10192196 is an abundant number, since it is smaller than the sum of its proper divisors (10755304).

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

10192196 is a wasteful number, since it uses less digits than its factorization.

10192196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 29.

The square root of 10192196 is about 3192.5218871607. The cubic root of 10192196 is about 216.8149654026.

The spelling of 10192196 in words is "ten million, one hundred ninety-two thousand, one hundred ninety-six".

Divisors: 1 2 4 7 14 28 49 98 149 196 298 349 596 698 1043 1396 2086 2443 4172 4886 7301 9772 14602 17101 29204 34202 52001 68404 104002 208004 364007 728014 1456028 2548049 5096098 10192196