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214412520 = 23357255253
BaseRepresentation
bin11001100011110…
…10110011101000
3112221110021200110
430301322303220
5414342200040
633135334320
75212322250
oct1461726350
9487407613
10214412520
11100037333
125b9813a0
133556241a
1420694960
1513c54980
hexcc7ace8

214412520 has 64 divisors (see below), whose sum is σ = 735131520. Its totient is φ = 49008384.

The previous prime is 214412519. The next prime is 214412533. The reversal of 214412520 is 25214412.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 126787 + ... + 128466.

It is an arithmetic number, because the mean of its divisors is an integer number (11486430).

Almost surely, 2214412520 is an apocalyptic number.

214412520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214412520 is an abundant number, since it is smaller than the sum of its proper divisors (520719000).

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

214412520 is a wasteful number, since it uses less digits than its factorization.

214412520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255274 (or 255270 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 214412520 is about 14642.8316933577. The cubic root of 214412520 is about 598.5264953803.

Adding to 214412520 its reverse (25214412), we get a palindrome (239626932).

The spelling of 214412520 in words is "two hundred fourteen million, four hundred twelve thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 255253 510506 765759 1021012 1276265 1531518 1786771 2042024 2552530 3063036 3573542 3828795 5105060 5360313 6126072 7147084 7657590 8933855 10210120 10720626 14294168 15315180 17867710 21441252 26801565 30630360 35735420 42882504 53603130 71470840 107206260 214412520