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264222672 = 24373125367
BaseRepresentation
bin11111011111110…
…11011111010000
3200102011220100220
433233323133100
51020120111142
642115113040
76355566330
oct1757733720
9612156326
10264222672
1112616844a
12745a2780
134298229c
142713d0c0
15182e32ec
hexfbfb7d0

264222672 has 80 divisors (see below), whose sum is σ = 805281792. Its totient is φ = 73054080.

The previous prime is 264222617. The next prime is 264222691. The reversal of 264222672 is 276222462.

It is a nude number because it is divisible by every one of its digits.

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, 2268 + ... + 23099.

Almost surely, 2264222672 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 264222672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402640896).

264222672 is an abundant number, since it is smaller than the sum of its proper divisors (541059120).

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

264222672 is a wasteful number, since it uses less digits than its factorization.

264222672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25416 (or 25410 counting only the distinct ones).

The product of its digits is 32256, while the sum is 33.

The square root of 264222672 is about 16254.9276221089. The cubic root of 264222672 is about 641.6871759416.

The spelling of 264222672 in words is "two hundred sixty-four million, two hundred twenty-two thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 48 56 62 84 93 112 124 168 186 217 248 336 372 434 496 651 744 868 1302 1488 1736 2604 3472 5208 10416 25367 50734 76101 101468 152202 177569 202936 304404 355138 405872 532707 608808 710276 786377 1065414 1217616 1420552 1572754 2130828 2359131 2841104 3145508 4261656 4718262 5504639 6291016 8523312 9436524 11009278 12582032 16513917 18873048 22018556 33027834 37746096 44037112 66055668 88074224 132111336 264222672