Search a number
-
+
214288440 = 233512291453
BaseRepresentation
bin11001100010111…
…00100000111000
3112221012222110220
430301130200320
5414324212230
633132540040
75211264432
oct1461344070
9487188426
10214288440
11aaa62093
125b921620
133551aac2
1420661652
1513c2cd10
hexcc5c838

214288440 has 64 divisors (see below), whose sum is σ = 643831200. Its totient is φ = 57057792.

The previous prime is 214288421. The next prime is 214288471. The reversal of 214288440 is 44882412.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 146754 + ... + 148206.

Almost surely, 2214288440 is an apocalyptic number.

214288440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214288440 is an abundant number, since it is smaller than the sum of its proper divisors (429542760).

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

214288440 is a wasteful number, since it uses less digits than its factorization.

214288440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2696 (or 2692 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 33.

The square root of 214288440 is about 14638.5941947989. The cubic root of 214288440 is about 598.4110178298.

The spelling of 214288440 in words is "two hundred fourteen million, two hundred eighty-eight thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1229 1453 2458 2906 3687 4359 4916 5812 6145 7265 7374 8718 9832 11624 12290 14530 14748 17436 18435 21795 24580 29060 29496 34872 36870 43590 49160 58120 73740 87180 147480 174360 1785737 3571474 5357211 7142948 8928685 10714422 14285896 17857370 21428844 26786055 35714740 42857688 53572110 71429480 107144220 214288440