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213021400 = 23522346309
BaseRepresentation
bin11001011001001…
…11001011011000
3112211211121102111
430230213023120
5414013141100
633045442104
75164436434
oct1454471330
9484747374
10213021400
11aa277149
125b410334
1335196187
14204119c4
1513a7c6ba
hexcb272d8

213021400 has 48 divisors (see below), whose sum is σ = 516819600. Its totient is φ = 81502080.

The previous prime is 213021379. The next prime is 213021427. The reversal of 213021400 is 4120312.

213021400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18555 + ... + 27754.

It is an arithmetic number, because the mean of its divisors is an integer number (10767075).

Almost surely, 2213021400 is an apocalyptic number.

213021400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213021400 is an abundant number, since it is smaller than the sum of its proper divisors (303798200).

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

213021400 is a wasteful number, since it uses less digits than its factorization.

213021400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46348 (or 46339 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 213021400 is about 14595.2526528320. The cubic root of 213021400 is about 597.2292617482.

Adding to 213021400 its reverse (4120312), we get a palindrome (217141712).

The spelling of 213021400 in words is "two hundred thirteen million, twenty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 184 200 230 460 575 920 1150 2300 4600 46309 92618 185236 231545 370472 463090 926180 1065107 1157725 1852360 2130214 2315450 4260428 4630900 5325535 8520856 9261800 10651070 21302140 26627675 42604280 53255350 106510700 213021400