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202122112 = 2717293203
BaseRepresentation
bin11000000110000…
…10001110000000
3112002022212102011
430003002032000
5403220401422
632020102304
75003003203
oct1403021600
9462285364
10202122112
11a4102375
1257834994
1332b4b1aa
141cbb593a
1512b28077
hexc0c2380

202122112 has 64 divisors (see below), whose sum is σ = 441190800. Its totient is φ = 91807744.

The previous prime is 202122073. The next prime is 202122113. The reversal of 202122112 is 211221202.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 202122092 and 202122101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202122113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61503 + ... + 64705.

Almost surely, 2202122112 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 202122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220595400).

202122112 is an abundant number, since it is smaller than the sum of its proper divisors (239068688).

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

202122112 is a wasteful number, since it uses less digits than its factorization.

202122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3263 (or 3251 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 202122112 is about 14216.9656396856. The cubic root of 202122112 is about 586.8646393384.

Adding to 202122112 its reverse (211221202), we get a palindrome (413343314).

The spelling of 202122112 in words is "two hundred two million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 29 32 34 58 64 68 116 128 136 232 272 464 493 544 928 986 1088 1856 1972 2176 3203 3712 3944 6406 7888 12812 15776 25624 31552 51248 54451 63104 92887 102496 108902 185774 204992 217804 371548 409984 435608 743096 871216 1486192 1579079 1742432 2972384 3158158 3484864 5944768 6316316 6969728 11889536 12632632 25265264 50530528 101061056 202122112