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206292972 = 22331619091
BaseRepresentation
bin11000100101111…
…00011111101100
3112101011202202110
430102330133230
5410302333342
632245324020
75053314144
oct1422743754
9471152673
10206292972
11a64a0a66
1259106610
133397b762
141d57d924
151319dc9c
hexc4bc7ec

206292972 has 48 divisors (see below), whose sum is σ = 505078784. Its totient is φ = 65448000.

The previous prime is 206292971. The next prime is 206292991. The reversal of 206292972 is 279292602.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 206292972.

It is not an unprimeable number, because it can be changed into a prime (206292971) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18147 + ... + 27237.

Almost surely, 2206292972 is an apocalyptic number.

It is an amenable number.

206292972 is an abundant number, since it is smaller than the sum of its proper divisors (298785812).

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

206292972 is a wasteful number, since it uses less digits than its factorization.

206292972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9190 (or 9188 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 206292972 is about 14362.9026314321. The cubic root of 206292972 is about 590.8739055485.

The spelling of 206292972 in words is "two hundred six million, two hundred ninety-two thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 12 31 61 62 93 122 124 183 186 244 366 372 732 1891 3782 5673 7564 9091 11346 18182 22692 27273 36364 54546 109092 281821 554551 563642 845463 1109102 1127284 1663653 1690926 2218204 3327306 3381852 6654612 17191081 34382162 51573243 68764324 103146486 206292972