Search a number
-
+
23067264 = 2731143127
BaseRepresentation
bin101011111111…
…1101010000000
31121101221100010
41113333222000
521401123024
62142224520
7400032333
oct127775200
947357303
1023067264
1112025860
127885140
134a1858c
1430c661a
152059b29
hex15ffa80

23067264 has 128 divisors (see below), whose sum is σ = 68935680. Its totient is φ = 6773760.

The previous prime is 23067263. The next prime is 23067269. The reversal of 23067264 is 46276032.

It is a tau number, because it is divible by the number of its divisors (128).

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (23067263) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 181569 + ... + 181695.

It is an arithmetic number, because the mean of its divisors is an integer number (538560).

Almost surely, 223067264 is an apocalyptic number.

23067264 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 23067264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34467840).

23067264 is an abundant number, since it is smaller than the sum of its proper divisors (45868416).

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

23067264 is a wasteful number, since it uses less digits than its factorization.

23067264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 23067264 is about 4802.8391603301. The cubic root of 23067264 is about 284.6636598602.

The spelling of 23067264 in words is "twenty-three million, sixty-seven thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 43 44 48 64 66 86 88 96 127 128 129 132 172 176 192 254 258 264 344 352 381 384 473 508 516 528 688 704 762 946 1016 1032 1056 1376 1397 1408 1419 1524 1892 2032 2064 2112 2752 2794 2838 3048 3784 4064 4128 4191 4224 5461 5504 5588 5676 6096 7568 8128 8256 8382 10922 11176 11352 12192 15136 16256 16383 16512 16764 21844 22352 22704 24384 30272 32766 33528 43688 44704 45408 48768 60071 60544 65532 67056 87376 89408 90816 120142 131064 134112 174752 178816 180213 181632 240284 262128 268224 349504 360426 480568 524256 536448 699008 720852 961136 1048512 1441704 1922272 2097024 2883408 3844544 5766816 7689088 11533632 23067264