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232228864 = 211797167
BaseRepresentation
bin11011101011110…
…00100000000000
3121011222110010001
431311320200000
5433422310424
635013245344
75516625040
oct1565704000
9534873101
10232228864
1110a0a5a8a
1265933854
133915c93a
1422bb1720
15155c3844
hexdd78800

232228864 has 96 divisors (see below), whose sum is σ = 539360640. Its totient is φ = 97910784.

The previous prime is 232228831. The next prime is 232228873. The reversal of 232228864 is 468822232.

232228864 = T464 + T465 + ... + T1142.

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 7 ways as a sum of consecutive naturals, for example, 1390509 + ... + 1390675.

It is an arithmetic number, because the mean of its divisors is an integer number (5618340).

Almost surely, 2232228864 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 232228864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269680320).

232228864 is an abundant number, since it is smaller than the sum of its proper divisors (307131776).

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

232228864 is an equidigital number, since it uses as much as digits as its factorization.

232228864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 273 counting only the distinct ones).

The product of its digits is 73728, while the sum is 37.

The square root of 232228864 is about 15239.0571886846. The cubic root of 232228864 is about 614.6653512383.

The spelling of 232228864 in words is "two hundred thirty-two million, two hundred twenty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 97 112 128 167 194 224 256 334 388 448 512 668 679 776 896 1024 1169 1336 1358 1552 1792 2048 2338 2672 2716 3104 3584 4676 5344 5432 6208 7168 9352 10688 10864 12416 14336 16199 18704 21376 21728 24832 32398 37408 42752 43456 49664 64796 74816 85504 86912 99328 113393 129592 149632 171008 173824 198656 226786 259184 299264 342016 347648 453572 518368 598528 695296 907144 1036736 1197056 1390592 1814288 2073472 2394112 3628576 4146944 7257152 8293888 14514304 16587776 29028608 33175552 58057216 116114432 232228864