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213000832 = 2711151279
BaseRepresentation
bin11001011001000…
…10001010000000
3112211210120012201
430230202022000
5414012011312
633045202544
75164322452
oct1454421200
9484716181
10213000832
11aa262750
125b400454
13351899c5
14204082d2
1513a76557
hexcb22280

213000832 has 32 divisors (see below), whose sum is σ = 462916800. Its totient is φ = 96817920.

The previous prime is 213000793. The next prime is 213000841. The reversal of 213000832 is 238000312.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 74232 + ... + 77047.

It is an arithmetic number, because the mean of its divisors is an integer number (14466150).

Almost surely, 2213000832 is an apocalyptic number.

213000832 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

213000832 is an abundant number, since it is smaller than the sum of its proper divisors (249915968).

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

213000832 is a wasteful number, since it uses less digits than its factorization.

213000832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151304 (or 151292 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 213000832 is about 14594.5480231489. The cubic root of 213000832 is about 597.2100395686.

The spelling of 213000832 in words is "two hundred thirteen million, eight hundred thirty-two", and thus it is an aban number.

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 704 1408 151279 302558 605116 1210232 1664069 2420464 3328138 4840928 6656276 9681856 13312552 19363712 26625104 53250208 106500416 213000832