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202149144 = 233214991873
BaseRepresentation
bin11000000110010…
…00110100011000
3112002101020111100
430003020310120
5403222233034
632020431400
75003145051
oct1403106430
9462336440
10202149144
11a412070a
1257848560
1332b5a5a2
141cbc1728
1512b31099
hexc0c8d18

202149144 has 48 divisors (see below), whose sum is σ = 548145000. Its totient is φ = 67302144.

The previous prime is 202149137. The next prime is 202149173. The reversal of 202149144 is 441941202.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 106992 + ... + 108864.

Almost surely, 2202149144 is an apocalyptic number.

202149144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

202149144 is an abundant number, since it is smaller than the sum of its proper divisors (345995856).

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

202149144 is a wasteful number, since it uses less digits than its factorization.

202149144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3384 (or 3377 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 202149144 is about 14217.9163030312. The cubic root of 202149144 is about 586.8908007804.

The spelling of 202149144 in words is "two hundred two million, one hundred forty-nine thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1499 1873 2998 3746 4497 5619 5996 7492 8994 11238 11992 13491 14984 16857 17988 22476 26982 33714 35976 44952 53964 67428 107928 134856 2807627 5615254 8422881 11230508 16845762 22461016 25268643 33691524 50537286 67383048 101074572 202149144