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214222020 = 22359713677
BaseRepresentation
bin11001100010011…
…00010011000100
3112221002121100220
430301030103010
5414320101040
633131304340
75210566665
oct1461142304
9487077326
10214222020
11aaa171a1
125b8ab0b0
13354c67bc
142064536c
1513c182d0
hexcc4c4c4

214222020 has 48 divisors (see below), whose sum is σ = 600602688. Its totient is φ = 57051520.

The previous prime is 214222013. The next prime is 214222027. The reversal of 214222020 is 20222412.

It is an interprime number because it is at equal distance from previous prime (214222013) and next prime (214222027).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (214222027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56422 + ... + 60098.

It is an arithmetic number, because the mean of its divisors is an integer number (12512556).

Almost surely, 2214222020 is an apocalyptic number.

214222020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214222020 is an abundant number, since it is smaller than the sum of its proper divisors (386380668).

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

214222020 is a wasteful number, since it uses less digits than its factorization.

214222020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4660 (or 4658 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 214222020 is about 14636.3253585044. The cubic root of 214222020 is about 598.3491844009.

Adding to 214222020 its reverse (20222412), we get a palindrome (234444432).

The spelling of 214222020 in words is "two hundred fourteen million, two hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 971 1942 2913 3677 3884 4855 5826 7354 9710 11031 11652 14565 14708 18385 19420 22062 29130 36770 44124 55155 58260 73540 110310 220620 3570367 7140734 10711101 14281468 17851835 21422202 35703670 42844404 53555505 71407340 107111010 214222020