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213675064 = 231931137331
BaseRepresentation
bin11001011110001…
…10110000111000
3112220001211002021
430233012300320
5414200100224
633111444224
75203131241
oct1457066070
9486054067
10213675064
11aa683269
125b686674
1335364865
1420541cc8
1513b5b1e4
hexcbc6c38

213675064 has 64 divisors (see below), whose sum is σ = 439833600. Its totient is φ = 96940800.

The previous prime is 213675031. The next prime is 213675071. The reversal of 213675064 is 460576312.

It is a happy number.

213675064 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 645379 + ... + 645709.

It is an arithmetic number, because the mean of its divisors is an integer number (6872400).

Almost surely, 2213675064 is an apocalyptic number.

It is an amenable number.

213675064 is an abundant number, since it is smaller than the sum of its proper divisors (226158536).

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

213675064 is a wasteful number, since it uses less digits than its factorization.

213675064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 34.

The square root of 213675064 is about 14617.6285354362. The cubic root of 213675064 is about 597.8395113000.

The spelling of 213675064 in words is "two hundred thirteen million, six hundred seventy-five thousand, sixty-four".

Divisors: 1 2 4 8 19 31 38 62 76 124 137 152 248 274 331 548 589 662 1096 1178 1324 2356 2603 2648 4247 4712 5206 6289 8494 10261 10412 12578 16988 20522 20824 25156 33976 41044 45347 50312 80693 82088 90694 161386 181388 194959 322772 362776 389918 645544 779836 861593 1405757 1559672 1723186 2811514 3446372 5623028 6892744 11246056 26709383 53418766 106837532 213675064