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2220712248 = 2331915731019
BaseRepresentation
bin1000010001011101…
…0110000100111000
312201202122212111210
42010113112010320
514022000242443
61004205323120
7106013512506
oct20427260470
95652585453
102220712248
11a3a596a87
1251b8664a0
13295104021
14170d0d676
15cee5dc33
hex845d6138

2220712248 has 64 divisors (see below), whose sum is σ = 5881392000. Its totient is φ = 696788352.

The previous prime is 2220712223. The next prime is 2220712279. The reversal of 2220712248 is 8422170222.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 56083 + ... + 87101.

It is an arithmetic number, because the mean of its divisors is an integer number (91896750).

Almost surely, 22220712248 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 2220712248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2940696000).

2220712248 is an abundant number, since it is smaller than the sum of its proper divisors (3660679752).

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

2220712248 is a wasteful number, since it uses less digits than its factorization.

2220712248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31204 (or 31200 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 30.

The square root of 2220712248 is about 47124.4336623794. The cubic root of 2220712248 is about 1304.6602459584.

The spelling of 2220712248 in words is "two billion, two hundred twenty million, seven hundred twelve thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 157 228 314 456 471 628 942 1256 1884 2983 3768 5966 8949 11932 17898 23864 31019 35796 62038 71592 93057 124076 186114 248152 372228 589361 744456 1178722 1768083 2357444 3536166 4714888 4869983 7072332 9739966 14144664 14609949 19479932 29219898 38959864 58439796 92529677 116879592 185059354 277589031 370118708 555178062 740237416 1110356124 2220712248