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2202264252 = 2232178394289
BaseRepresentation
bin1000001101000011…
…1110001010111100
312200110221121121200
42003100332022330
514002234424002
61002310055500
7105400636326
oct20320761274
95613847550
102202264252
11a30136801
1251564a590
13291345156
1416c6aa616
15cd517b1c
hex8343e2bc

2202264252 has 72 divisors (see below), whose sum is σ = 5902696800. Its totient is φ = 689922048.

The previous prime is 2202264241. The next prime is 2202264257. The reversal of 2202264252 is 2524622022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2202264257) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 511324 + ... + 515612.

It is an arithmetic number, because the mean of its divisors is an integer number (81981900).

Almost surely, 22202264252 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 2202264252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2951348400).

2202264252 is an abundant number, since it is smaller than the sum of its proper divisors (3700432548).

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

2202264252 is a wasteful number, since it uses less digits than its factorization.

2202264252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5155 (or 5150 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 2202264252 is about 46928.2883983637. The cubic root of 2202264252 is about 1301.0374858015.

Adding to 2202264252 its reverse (2524622022), we get a palindrome (4726886274).

The spelling of 2202264252 in words is "two billion, two hundred two million, two hundred sixty-four thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 839 1678 2517 3356 4289 5034 7551 8578 10068 12867 14263 15102 17156 25734 28526 30204 38601 42789 51468 57052 72913 77202 85578 128367 145826 154404 171156 218739 256734 291652 437478 513468 656217 874956 1312434 2624868 3598471 7196942 10795413 14393884 21590826 32386239 43181652 61174007 64772478 122348014 129544956 183522021 244696028 367044042 550566063 734088084 1101132126 2202264252