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23030220330 = 23251334956401
BaseRepresentation
bin10101011100101101…
…010100011000101010
32012110000102102002100
4111130231110120222
5334131214022310
614325133314230
71443465433335
oct253455243052
965400372070
1023030220330
119848a60447
124568935976
132230410510
14118691761c
158ebccdec0
hex55cb5462a

23030220330 has 96 divisors (see below), whose sum is σ = 64670533200. Its totient is φ = 5652633600.

The previous prime is 23030220329. The next prime is 23030220347. The reversal of 23030220330 is 3302203032.

23030220330 is a `hidden beast` number, since 2 + 30 + 302 + 2 + 0 + 330 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 9736360929 + 13293859401 = 98673^2 + 115299^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 380130 + ... + 436530.

Almost surely, 223030220330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23030220330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32335266600).

23030220330 is an abundant number, since it is smaller than the sum of its proper divisors (41640312870).

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

23030220330 is a wasteful number, since it uses less digits than its factorization.

23030220330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56776 (or 56773 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

Adding to 23030220330 its reverse (3302203032), we get a palindrome (26332423362).

The spelling of 23030220330 in words is "twenty-three billion, thirty million, two hundred twenty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 349 390 585 698 1047 1170 1745 2094 3141 3490 4537 5235 6282 9074 10470 13611 15705 22685 27222 31410 40833 45370 56401 68055 81666 112802 136110 169203 204165 282005 338406 408330 507609 564010 733213 846015 1015218 1466426 1692030 2199639 2538045 3666065 4399278 5076090 6598917 7332130 10998195 13197834 19683949 21996390 32994585 39367898 59051847 65989170 98419745 118103694 177155541 196839490 255891337 295259235 354311082 511782674 590518470 767674011 885777705 1279456685 1535348022 1771555410 2303022033 2558913370 3838370055 4606044066 7676740110 11515110165 23030220330