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214480440 = 23335198593
BaseRepresentation
bin11001100100010…
…11011000111000
3112221120201212000
430302023120320
5414401333230
633141021000
75213024256
oct1462133070
9487521760
10214480440
11100083369
125b9b4760
1335587305
14206b15d6
1513c69b60
hexcc8b638

214480440 has 64 divisors (see below), whose sum is σ = 714938400. Its totient is φ = 57194496.

The previous prime is 214480439. The next prime is 214480457. The reversal of 214480440 is 44084412.

It is a happy number.

214480440 is a `hidden beast` number, since 2 + 144 + 80 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 98217 + ... + 100376.

Almost surely, 2214480440 is an apocalyptic number.

214480440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214480440 is an abundant number, since it is smaller than the sum of its proper divisors (500457960).

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

214480440 is a wasteful number, since it uses less digits than its factorization.

214480440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198613 (or 198603 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 214480440 is about 14645.1507332632. The cubic root of 214480440 is about 598.5896876290.

The spelling of 214480440 in words is "two hundred fourteen million, four hundred eighty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 198593 397186 595779 794372 992965 1191558 1588744 1787337 1985930 2383116 2978895 3574674 3971860 4766232 5362011 5957790 7149348 7943720 8936685 10724022 11915580 14298696 17873370 21448044 23831160 26810055 35746740 42896088 53620110 71493480 107240220 214480440