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2242313220 = 2235737313461
BaseRepresentation
bin1000010110100110…
…1111110000000100
312210021022022110210
42011221233300010
514043013010340
61010300315420
7106365230220
oct20551576004
95707268423
102242313220
11a50800124
12526b42b70
13299728074
14173b33780
15d1cc9180
hex85a6fc04

2242313220 has 192 divisors, whose sum is σ = 7408912896. Its totient is φ = 496005120.

The previous prime is 2242313219. The next prime is 2242313239. The reversal of 2242313220 is 223132422.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4863790 + ... + 4864250.

It is an arithmetic number, because the mean of its divisors is an integer number (38588088).

Almost surely, 22242313220 is an apocalyptic number.

2242313220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2242313220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3704456448).

2242313220 is an abundant number, since it is smaller than the sum of its proper divisors (5166599676).

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

2242313220 is a wasteful number, since it uses less digits than its factorization.

2242313220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 830 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 2242313220 is about 47353.0698054519. The cubic root of 2242313220 is about 1308.8767676960.

Adding to 2242313220 its reverse (223132422), we get a palindrome (2465445642).

The spelling of 2242313220 in words is "two billion, two hundred forty-two million, three hundred thirteen thousand, two hundred twenty".