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213694464 = 211334781
BaseRepresentation
bin11001011110010…
…11100000000000
3112220002210200210
430233023200000
5414201210324
633112114120
75203241634
oct1457134000
9486083623
10213694464
11aa6968a5
125b695940
1335370639
1420548dc4
1513b61d29
hexcbcb800

213694464 has 48 divisors (see below), whose sum is σ = 569729160. Its totient is φ = 71229440.

The previous prime is 213694379. The next prime is 213694469. The reversal of 213694464 is 464496312.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213694469) 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 3 ways as a sum of consecutive naturals, for example, 11247 + ... + 23534.

Almost surely, 2213694464 is an apocalyptic number.

213694464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

213694464 is an abundant number, since it is smaller than the sum of its proper divisors (356034696).

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

213694464 is an equidigital number, since it uses as much as digits as its factorization.

213694464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34806 (or 34786 counting only the distinct ones).

The product of its digits is 124416, while the sum is 39.

The square root of 213694464 is about 14618.2921027047. The cubic root of 213694464 is about 597.8576037801.

The spelling of 213694464 in words is "two hundred thirteen million, six hundred ninety-four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 6144 34781 69562 104343 139124 208686 278248 417372 556496 834744 1112992 1669488 2225984 3338976 4451968 6677952 8903936 13355904 17807872 26711808 35615744 53423616 71231488 106847232 213694464