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2220346604 = 2272293112601
BaseRepresentation
bin1000010001010111…
…1100110011101100
312201201222021221102
42010111330303230
514021402042404
61004153422232
7106010430500
oct20425746354
95651867842
102220346604
11a3a3672a3
1251b70a978
13295006778
14170c56300
15cedda71e
hex8457ccec

2220346604 has 72 divisors (see below), whose sum is σ = 4827070080. Its totient is φ = 889056000.

The previous prime is 2220346559. The next prime is 2220346619. The reversal of 2220346604 is 4066430222.

2220346604 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 169904 + ... + 182504.

It is an arithmetic number, because the mean of its divisors is an integer number (67042640).

Almost surely, 22220346604 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 2220346604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2413535040).

2220346604 is an abundant number, since it is smaller than the sum of its proper divisors (2606723476).

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

2220346604 is a wasteful number, since it uses less digits than its factorization.

2220346604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12679 (or 12670 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

The square root of 2220346604 is about 47120.5539441123. The cubic root of 2220346604 is about 1304.5886371948.

Adding to 2220346604 its reverse (4066430222), we get a palindrome (6286776826).

The spelling of 2220346604 in words is "two billion, two hundred twenty million, three hundred forty-six thousand, six hundred four".

Divisors: 1 2 4 7 14 28 29 31 49 58 62 98 116 124 196 203 217 406 434 812 868 899 1421 1519 1798 2842 3038 3596 5684 6076 6293 12586 12601 25172 25202 44051 50404 88102 88207 176204 176414 352828 365429 390631 617449 730858 781262 1234898 1461716 1562524 2469796 2558003 2734417 5116006 5468834 10232012 10937668 11328299 17906021 19140919 22656598 35812042 38281838 45313196 71624084 76563676 79298093 158596186 317192372 555086651 1110173302 2220346604