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23022033012 = 2232111719179989
BaseRepresentation
bin10101011100001110…
…000101100001110100
32012102110000110012100
4111130032011201310
5334122120024022
614324242022100
71443336023526
oct253416054164
965373013170
1023022033012
119844379170
124566047930
13222b804a54
1411857c5a16
158eb2131ac
hex55c385874

23022033012 has 144 divisors (see below), whose sum is σ = 70757668800. Its totient is φ = 6220385280.

The previous prime is 23022032989. The next prime is 23022033017. The reversal of 23022033012 is 21033022032.

It is a happy number.

23022033012 is a `hidden beast` number, since 2 + 302 + 20 + 330 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23022033017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37914 + ... + 217902.

It is an arithmetic number, because the mean of its divisors is an integer number (491372700).

Almost surely, 223022033012 is an apocalyptic number.

23022033012 is a gapful number since it is divisible by the number (22) 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 23022033012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35378834400).

23022033012 is an abundant number, since it is smaller than the sum of its proper divisors (47735635788).

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

23022033012 is a wasteful number, since it uses less digits than its factorization.

23022033012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180046 (or 180041 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 23022033012 its reverse (21033022032), we get a palindrome (44055055044).

The spelling of 23022033012 in words is "twenty-three billion, twenty-two million, thirty-three thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 17 18 19 22 33 34 36 38 44 51 57 66 68 76 99 102 114 132 153 171 187 198 204 209 228 306 323 342 374 396 418 561 612 627 646 684 748 836 969 1122 1254 1292 1683 1881 1938 2244 2508 2907 3366 3553 3762 3876 5814 6732 7106 7524 10659 11628 14212 21318 31977 42636 63954 127908 179989 359978 539967 719956 1079934 1619901 1979879 2159868 3059813 3239802 3419791 3959758 5939637 6119626 6479604 6839582 7919516 9179439 10259373 11879274 12239252 13679164 17818911 18358878 20518746 23758548 27538317 30778119 33657943 35637822 36717756 37617701 41037492 55076634 58136447 61556238 67315886 71275644 75235402 100973829 110153268 112853103 116272894 123112476 134631772 150470804 174409341 201947658 225706206 232545788 302921487 338559309 348818682 403895316 451412412 523228023 605842974 639500917 677118618 697637364 1046456046 1211685948 1279001834 1354237236 1918502751 2092912092 2558003668 3837005502 5755508253 7674011004 11511016506 23022033012