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214148120 = 23521125373
BaseRepresentation
bin11001100001110…
…10010000011000
3112220221211222212
430300322100120
5414310214440
633125534252
75210141354
oct1460722030
9486854885
10214148120
11aa97671a
125b874388
133549bc84
1420626464
1513c01465
hexcc3a418

214148120 has 32 divisors (see below), whose sum is σ = 484135920. Its totient is φ = 85249920.

The previous prime is 214148117. The next prime is 214148153. The reversal of 214148120 is 21841412.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4247 + ... + 21126.

Almost surely, 2214148120 is an apocalyptic number.

214148120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214148120 is an abundant number, since it is smaller than the sum of its proper divisors (269987800).

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

214148120 is a wasteful number, since it uses less digits than its factorization.

214148120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25595 (or 25591 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

The square root of 214148120 is about 14633.8005999809. The cubic root of 214148120 is about 598.2803724734.

Adding to 214148120 its reverse (21841412), we get a palindrome (235989532).

The spelling of 214148120 in words is "two hundred fourteen million, one hundred forty-eight thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 211 422 844 1055 1688 2110 4220 8440 25373 50746 101492 126865 202984 253730 507460 1014920 5353703 10707406 21414812 26768515 42829624 53537030 107074060 214148120