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213552420 = 22353559207
BaseRepresentation
bin11001011101010…
…00110100100100
3112212211120211220
430232220310210
5414132134140
633105100340
75202110544
oct1456506444
9485746756
10213552420
11aa5aa104
125b6276b0
1335320aa3
142050d324
1513b34bd0
hexcba8d24

213552420 has 24 divisors (see below), whose sum is σ = 597946944. Its totient is φ = 56947296.

The previous prime is 213552403. The next prime is 213552421. The reversal of 213552420 is 24255312.

It is not an unprimeable number, because it can be changed into a prime (213552421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1779544 + ... + 1779663.

It is an arithmetic number, because the mean of its divisors is an integer number (24914456).

Almost surely, 2213552420 is an apocalyptic number.

213552420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213552420 is an abundant number, since it is smaller than the sum of its proper divisors (384394524).

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

213552420 is a wasteful number, since it uses less digits than its factorization.

213552420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3559219 (or 3559217 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 213552420 is about 14613.4328615832. The cubic root of 213552420 is about 597.7251078996.

The spelling of 213552420 in words is "two hundred thirteen million, five hundred fifty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 3559207 7118414 10677621 14236828 17796035 21355242 35592070 42710484 53388105 71184140 106776210 213552420