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2243120420 = 2251729227497
BaseRepresentation
bin1000010110110011…
…0100110100100100
312210022211022202002
42011230310310210
514043214323140
61010325504432
7106405131452
oct20554646444
95708738662
102243120420
11a51201632
12527272118
1329994b5b8
14173ca39d2
15d1dd8415
hex85b34d24

2243120420 has 48 divisors (see below), whose sum is σ = 5159654640. Its totient is φ = 815345664.

The previous prime is 2243120419. The next prime is 2243120443. The reversal of 2243120420 is 240213422.

It can be written as a sum of positive squares in 8 ways, for example, as 40883236 + 2202237184 = 6394^2 + 46928^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2243120392 and 2243120401.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103889 + ... + 123608.

It is an arithmetic number, because the mean of its divisors is an integer number (107492805).

Almost surely, 22243120420 is an apocalyptic number.

2243120420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2243120420 is an abundant number, since it is smaller than the sum of its proper divisors (2916534220).

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

2243120420 is a wasteful number, since it uses less digits than its factorization.

2243120420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227552 (or 227550 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2243120420 is about 47361.5922451938. The cubic root of 2243120420 is about 1309.0338076916.

Adding to 2243120420 its reverse (240213422), we get a palindrome (2483333842).

The spelling of 2243120420 in words is "two billion, two hundred forty-three million, one hundred twenty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 29 34 58 68 85 116 145 170 290 340 493 580 986 1972 2465 4930 9860 227497 454994 909988 1137485 2274970 3867449 4549940 6597413 7734898 13194826 15469796 19337245 26389652 32987065 38674490 65974130 77348980 112156021 131948260 224312042 448624084 560780105 1121560210 2243120420