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2220412356 = 2232331318617
BaseRepresentation
bin1000010001011000…
…1100110111000100
312201202002122010200
42010112030313010
514021411143411
61004155050500
7106011123261
oct20426146704
95652078120
102220412356
11a3a401738
1251b740a30
1329502a686
14170c72268
15cedeee56
hex8458cdc4

2220412356 has 36 divisors (see below), whose sum is σ = 5614704732. Its totient is φ = 739874304.

The previous prime is 2220412339. The next prime is 2220412357. The reversal of 2220412356 is 6532140222.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2114528256 + 105884100 = 45984^2 + 10290^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (2220412357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 109960 + ... + 128576.

Almost surely, 22220412356 is an apocalyptic number.

It is an amenable number.

2220412356 is an abundant number, since it is smaller than the sum of its proper divisors (3394292376).

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

2220412356 is a wasteful number, since it uses less digits than its factorization.

2220412356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21940 (or 21935 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 2220412356 is about 47121.2516387245. The cubic root of 2220412356 is about 1304.6015148337.

Adding to 2220412356 its reverse (6532140222), we get a palindrome (8752552578).

The spelling of 2220412356 in words is "two billion, two hundred twenty million, four hundred twelve thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 3313 6626 9939 13252 18617 19878 29817 37234 39756 55851 59634 74468 111702 119268 167553 223404 335106 670212 61678121 123356242 185034363 246712484 370068726 555103089 740137452 1110206178 2220412356