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202289136 = 24373119421
BaseRepresentation
bin11000000111010…
…10111111110000
3112002122100112020
430003222333300
5403241223021
632023431440
75004300150
oct1403527760
9462570466
10202289136
11a4206905
12578b5580
1332ba921a
141cc1a760
1512b5c7c6
hexc0eaff0

202289136 has 80 divisors (see below), whose sum is σ = 616531968. Its totient is φ = 55929600.

The previous prime is 202289099. The next prime is 202289149. The reversal of 202289136 is 631982202.

It is a happy number.

202289136 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 202289097 and 202289106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 706 + ... + 20126.

Almost surely, 2202289136 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 202289136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308265984).

202289136 is an abundant number, since it is smaller than the sum of its proper divisors (414242832).

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

202289136 is a wasteful number, since it uses less digits than its factorization.

202289136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19470 (or 19464 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 202289136 is about 14222.8385352573. The cubic root of 202289136 is about 587.0262470766.

The spelling of 202289136 in words is "two hundred two million, two hundred eighty-nine thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 48 56 62 84 93 112 124 168 186 217 248 336 372 434 496 651 744 868 1302 1488 1736 2604 3472 5208 10416 19421 38842 58263 77684 116526 135947 155368 233052 271894 310736 407841 466104 543788 602051 815682 932208 1087576 1204102 1631364 1806153 2175152 2408204 3262728 3612306 4214357 4816408 6525456 7224612 8428714 9632816 12643071 14449224 16857428 25286142 28898448 33714856 50572284 67429712 101144568 202289136