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10202292 = 2232283397
BaseRepresentation
bin100110111010…
…110010110100
3201012022220200
4212322302310
510102433132
61002400500
7152501202
oct46726264
921168820
1010202292
115839151
123500130
132162979
1414d8072
15d67d7c
hex9bacb4

10202292 has 18 divisors (see below), whose sum is σ = 25789218. Its totient is φ = 3400752.

The previous prime is 10202281. The next prime is 10202293. The reversal of 10202292 is 29220201.

It can be written as a sum of positive squares in only one way, i.e., 7257636 + 2944656 = 2694^2 + 1716^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10202293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 141663 + ... + 141734.

Almost surely, 210202292 is an apocalyptic number.

10202292 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10202292 is an abundant number, since it is smaller than the sum of its proper divisors (15586926).

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

10202292 is a wasteful number, since it uses less digits than its factorization.

10202292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283407 (or 283402 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 10202292 is about 3194.1026908977. The cubic root of 10202292 is about 216.8865313183.

Adding to 10202292 its reverse (29220201), we get a palindrome (39422493).

The spelling of 10202292 in words is "ten million, two hundred two thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 36 283397 566794 850191 1133588 1700382 2550573 3400764 5101146 10202292