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214950020 = 22537290473
BaseRepresentation
bin11001100111111…
…10000010000100
3112222110120222212
430303332002010
5420011400040
633155042552
75220021305
oct1463760204
9488416885
10214950020
1110037414a
125bba0458
13356bcc7c
14207947ac
1513d0dd65
hexccfe084

214950020 has 24 divisors (see below), whose sum is σ = 463596504. Its totient is φ = 83655936.

The previous prime is 214950013. The next prime is 214950037. The reversal of 214950020 is 20059412.

It can be written as a sum of positive squares in 4 ways, for example, as 28026436 + 186923584 = 5294^2 + 13672^2 .

It is a super-2 number, since 2×2149500202 = 92407022196000800, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 144497 + ... + 145976.

It is an arithmetic number, because the mean of its divisors is an integer number (19316521).

Almost surely, 2214950020 is an apocalyptic number.

214950020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214950020 is an abundant number, since it is smaller than the sum of its proper divisors (248646484).

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

214950020 is a wasteful number, since it uses less digits than its factorization.

214950020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290519 (or 290517 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 214950020 is about 14661.1738957015. The cubic root of 214950020 is about 599.0262167282.

The spelling of 214950020 in words is "two hundred fourteen million, nine hundred fifty thousand, twenty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 740 290473 580946 1161892 1452365 2904730 5809460 10747501 21495002 42990004 53737505 107475010 214950020