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211213400 = 23525212027
BaseRepresentation
bin11001001011011…
…01110001011000
3112201102202022112
430211231301120
5413032312100
632543011452
75143166336
oct1445556130
9481382275
10211213400
11a9251832
125a899b88
13349b2258
14200a0b56
1513821b35
hexc96dc58

211213400 has 48 divisors (see below), whose sum is σ = 492256440. Its totient is φ = 84281600.

The previous prime is 211213397. The next prime is 211213421. The reversal of 211213400 is 4312112.

211213400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2112134002 = 89222200679120000, which contains 22 as substring.

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, 103187 + ... + 105213.

Almost surely, 2211213400 is an apocalyptic number.

211213400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211213400 is an abundant number, since it is smaller than the sum of its proper divisors (281043040).

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

211213400 is a wasteful number, since it uses less digits than its factorization.

211213400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2564 (or 2555 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 211213400 is about 14533.1827209321. The cubic root of 211213400 is about 595.5348156086.

Adding to 211213400 its reverse (4312112), we get a palindrome (215525512).

The spelling of 211213400 in words is "two hundred eleven million, two hundred thirteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 521 1042 2027 2084 2605 4054 4168 5210 8108 10135 10420 13025 16216 20270 20840 26050 40540 50675 52100 81080 101350 104200 202700 405400 1056067 2112134 4224268 5280335 8448536 10560670 21121340 26401675 42242680 52803350 105606700 211213400