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214838460 = 22335397849
BaseRepresentation
bin11001100111000…
…10110010111100
3112222020220222000
430303202302330
5414444312320
633152422300
75216045124
oct1463426274
9488226860
10214838460
111002a8351
125bb47990
1335681265
1420765c84
1513cdac90
hexcce2cbc

214838460 has 48 divisors (see below), whose sum is σ = 668388000. Its totient is φ = 57290112.

The previous prime is 214838443. The next prime is 214838471. The reversal of 214838460 is 64838412.

214838460 is a `hidden beast` number, since 214 + 8 + 384 + 60 = 666.

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

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, 198385 + ... + 199464.

It is an arithmetic number, because the mean of its divisors is an integer number (13924750).

Almost surely, 2214838460 is an apocalyptic number.

214838460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214838460 is an abundant number, since it is smaller than the sum of its proper divisors (453549540).

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

214838460 is a wasteful number, since it uses less digits than its factorization.

214838460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397867 (or 397859 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 214838460 is about 14657.3687952511. The cubic root of 214838460 is about 598.9225663861.

The spelling of 214838460 in words is "two hundred fourteen million, eight hundred thirty-eight thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 397849 795698 1193547 1591396 1989245 2387094 3580641 3978490 4774188 5967735 7161282 7956980 10741923 11935470 14322564 17903205 21483846 23870940 35806410 42967692 53709615 71612820 107419230 214838460