Search a number
-
+
23155824330 = 23253715146051
BaseRepresentation
bin10101100100001100…
…011101011011001010
32012202202202202101100
4111210030131123022
5334410342334310
614345421402230
71446552154632
oct254414353312
965682682340
1023155824330
11990294a601
1245a2a09376
13225044a102
1411994916c2
15907d3eec0
hex56431d6ca

23155824330 has 96 divisors (see below), whose sum is σ = 62243146368. Its totient is φ = 5968080000.

The previous prime is 23155824319. The next prime is 23155824347. The reversal of 23155824330 is 3342855132.

23155824330 is a `hidden beast` number, since 2 + 3 + 1 + 5 + 582 + 43 + 30 = 666.

It is a super-4 number, since 4×231558243304 (a number of 43 digits) contains 4444 as substring.

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, 479805 + ... + 525855.

It is an arithmetic number, because the mean of its divisors is an integer number (648366108).

Almost surely, 223155824330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23155824330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31121573184).

23155824330 is an abundant number, since it is smaller than the sum of its proper divisors (39087322038).

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

23155824330 is a wasteful number, since it uses less digits than its factorization.

23155824330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46252 (or 46249 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 23155824330 in words is "twenty-three billion, one hundred fifty-five million, eight hundred twenty-four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 151 185 222 302 333 370 453 555 666 755 906 1110 1359 1510 1665 2265 2718 3330 4530 5587 6795 11174 13590 16761 27935 33522 46051 50283 55870 83805 92102 100566 138153 167610 230255 251415 276306 414459 460510 502830 690765 828918 1381530 1703887 2072295 3407774 4144590 5111661 6953701 8519435 10223322 13907402 15334983 17038870 20861103 25558305 30669966 34768505 41722206 51116610 62583309 69537010 76674915 104305515 125166618 153349830 208611030 257286937 312916545 514573874 625833090 771860811 1286434685 1543721622 2315582433 2572869370 3859304055 4631164866 7718608110 11577912165 23155824330