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213397056 = 263217193137
BaseRepresentation
bin11001011100000…
…10111001000000
3112212112200201200
430232002321000
5414112201211
633101501200
75200562565
oct1456027100
9485480650
10213397056
11aa503404
125b571800
1335298162
14204ac86c
1513b03b56
hexcb82e40

213397056 has 336 divisors, whose sum is σ = 722741760. Its totient is φ = 59719680.

The previous prime is 213397049. The next prime is 213397081. The reversal of 213397056 is 650793312.

213397056 is a `hidden beast` number, since 213 + 397 + 0 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 213397056.

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 47 ways as a sum of consecutive naturals, for example, 5767470 + ... + 5767506.

Almost surely, 2213397056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213397056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361370880).

213397056 is an abundant number, since it is smaller than the sum of its proper divisors (509344704).

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

213397056 is a wasteful number, since it uses less digits than its factorization.

213397056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 213397056 is about 14608.1161003053. The cubic root of 213397056 is about 597.5801200894.

The spelling of 213397056 in words is "two hundred thirteen million, three hundred ninety-seven thousand, fifty-six".