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4222465560 = 2332511729071
BaseRepresentation
bin1111101110101101…
…1011011000011000
3101220021022110211100
43323223123120120
532121422344220
61534554031400
7206431236135
oct37353333030
911807273740
104222465560
111877520965
1299a118560
13523a43441
142c0b0358c
1519aa6ad90
hexfbadb618

4222465560 has 48 divisors (see below), whose sum is σ = 13723014240. Its totient is φ = 1125990720.

The previous prime is 4222465543. The next prime is 4222465561. The reversal of 4222465560 is 655642224.

4222465560 is a `hidden beast` number, since 42 + 22 + 46 + 556 + 0 = 666.

It is a super-2 number, since 2×42224655602 = 35658430810772227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4222465561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5864176 + ... + 5864895.

It is an arithmetic number, because the mean of its divisors is an integer number (285896130).

Almost surely, 24222465560 is an apocalyptic number.

4222465560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4222465560 is an abundant number, since it is smaller than the sum of its proper divisors (9500548680).

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

4222465560 is a wasteful number, since it uses less digits than its factorization.

4222465560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11729088 (or 11729081 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 4222465560 is about 64980.5013831072. The cubic root of 4222465560 is about 1616.3002446325.

It can be divided in two parts, 4222465 and 560, that added together give a square (4223025 = 20552).

The spelling of 4222465560 in words is "four billion, two hundred twenty-two million, four hundred sixty-five thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 11729071 23458142 35187213 46916284 58645355 70374426 93832568 105561639 117290710 140748852 175936065 211123278 234581420 281497704 351872130 422246556 469162840 527808195 703744260 844493112 1055616390 1407488520 2111232780 4222465560