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213442704 = 24326722123
BaseRepresentation
bin11001011100011…
…10000010010000
3112212122000100100
430232032002100
5414120131304
633102452400
75201142636
oct1456160220
9485560310
10213442704
11aa534732
125b594100
13352b2b77
14204c1356
1513b12439
hexcb8e090

213442704 has 60 divisors (see below), whose sum is σ = 606286096. Its totient is φ = 70082496.

The previous prime is 213442703. The next prime is 213442709. The reversal of 213442704 is 407244312.

213442704 is a `hidden beast` number, since 213 + 442 + 7 + 0 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (213442703) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1414 + ... + 20709.

Almost surely, 2213442704 is an apocalyptic number.

213442704 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213442704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303143048).

213442704 is an abundant number, since it is smaller than the sum of its proper divisors (392843392).

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

213442704 is a wasteful number, since it uses less digits than its factorization.

213442704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22204 (or 22195 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 213442704 is about 14609.6784358863. The cubic root of 213442704 is about 597.6227267261.

The spelling of 213442704 in words is "two hundred thirteen million, four hundred forty-two thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 67 72 134 144 201 268 402 536 603 804 1072 1206 1608 2412 3216 4824 9648 22123 44246 66369 88492 132738 176984 199107 265476 353968 398214 530952 796428 1061904 1482241 1592856 2964482 3185712 4446723 5928964 8893446 11857928 13340169 17786892 23715856 26680338 35573784 53360676 71147568 106721352 213442704