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92198340 = 223251331241
BaseRepresentation
bin1010111111011…
…01010111000100
320102111011100100
411133231113010
5142100321330
613052044100
72166446553
oct537552704
9212434310
1092198340
1148052a83
1226a63630
1316141740
14c35dd9a
158163060
hex57ed5c4

92198340 has 216 divisors, whose sum is σ = 318800664. Its totient is φ = 21427200.

The previous prime is 92198311. The next prime is 92198347. The reversal of 92198340 is 4389129.

It can be written as a sum of positive squares in 4 ways, for example, as 2214144 + 89984196 = 1488^2 + 9486^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 92198295 and 92198304.

It is not an unprimeable number, because it can be changed into a prime (92198347) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2248720 + ... + 2248760.

It is an arithmetic number, because the mean of its divisors is an integer number (1475929).

Almost surely, 292198340 is an apocalyptic number.

92198340 is a gapful number since it is divisible by the number (90) 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 92198340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159400332).

92198340 is an abundant number, since it is smaller than the sum of its proper divisors (226602324).

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

92198340 is a wasteful number, since it uses less digits than its factorization.

92198340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 92198340 is about 9601.9966673604. The cubic root of 92198340 is about 451.7599228895.

The spelling of 92198340 in words is "ninety-two million, one hundred ninety-eight thousand, three hundred forty".