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2202252 = 2231319743
BaseRepresentation
bin1000011001101010001100
311010212220220
420121222030
51030433002
6115111340
724501363
oct10315214
94125826
102202252
111274648
128a2550
135c1510
144147da
152d77bc
hex219a8c

2202252 has 48 divisors (see below), whose sum is σ = 5832960. Its totient is φ = 641088.

The previous prime is 2202169. The next prime is 2202253. The reversal of 2202252 is 2522022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2202253) 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, 2593 + ... + 3335.

It is an arithmetic number, because the mean of its divisors is an integer number (121520).

22202252 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 2202252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2916480).

2202252 is an abundant number, since it is smaller than the sum of its proper divisors (3630708).

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

2202252 is a wasteful number, since it uses less digits than its factorization.

2202252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 2202252 is about 1483.9986522905. The cubic root of 2202252 is about 130.1035073082.

Adding to 2202252 its reverse (2522022), we get a palindrome (4724274).

The spelling of 2202252 in words is "two million, two hundred two thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 13 19 26 38 39 52 57 76 78 114 156 228 247 494 741 743 988 1482 1486 2229 2964 2972 4458 8916 9659 14117 19318 28234 28977 38636 42351 56468 57954 84702 115908 169404 183521 367042 550563 734084 1101126 2202252