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214433960 = 23513231721
BaseRepresentation
bin11001100100000…
…00000010101000
3112221111101002112
430302000002220
5414343341320
633140021452
75212441616
oct1462000250
9487441075
10214433960
11100051454
125b991888
133556c100
142069c6b6
1513c5aec5
hexcc800a8

214433960 has 48 divisors (see below), whose sum is σ = 522461340. Its totient is φ = 79173120.

The previous prime is 214433959. The next prime is 214433963. The reversal of 214433960 is 69334412.

It can be written as a sum of positive squares in 6 ways, for example, as 45796 + 214388164 = 214^2 + 14642^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214433963) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9101 + ... + 22620.

Almost surely, 2214433960 is an apocalyptic number.

214433960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214433960 is an abundant number, since it is smaller than the sum of its proper divisors (308027380).

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

214433960 is a wasteful number, since it uses less digits than its factorization.

214433960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31758 (or 31741 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 32.

The square root of 214433960 is about 14643.5637738906. The cubic root of 214433960 is about 598.5464444336.

The spelling of 214433960 in words is "two hundred fourteen million, four hundred thirty-three thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 169 260 338 520 676 845 1352 1690 3380 6760 31721 63442 126884 158605 253768 317210 412373 634420 824746 1268840 1649492 2061865 3298984 4123730 5360849 8247460 10721698 16494920 21443396 26804245 42886792 53608490 107216980 214433960