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23321322090 = 23351117345389
BaseRepresentation
bin10101101110000011…
…110010001001101010
32020012022011220122000
4111232003302021222
5340230224301330
614414052511430
71453631652453
oct255603621152
966168156560
1023321322090
119988307510
12462a31b576
132278814091
1411b345212a
15917631560
hex56e0f226a

23321322090 has 128 divisors (see below), whose sum is σ = 68237510400. Its totient is φ = 5620849920.

The previous prime is 23321322071. The next prime is 23321322113. The reversal of 23321322090 is 9022312332.

23321322090 is a `hidden beast` number, since 2 + 332 + 1 + 322 + 0 + 9 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 63 ways as a sum of consecutive naturals, for example, 491116 + ... + 536504.

It is an arithmetic number, because the mean of its divisors is an integer number (533105550).

Almost surely, 223321322090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23321322090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34118755200).

23321322090 is an abundant number, since it is smaller than the sum of its proper divisors (44916188310).

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

23321322090 is a wasteful number, since it uses less digits than its factorization.

23321322090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45589 (or 45583 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The spelling of 23321322090 in words is "twenty-three billion, three hundred twenty-one million, three hundred twenty-two thousand, ninety".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 135 165 173 198 270 297 330 346 495 519 594 865 990 1038 1485 1557 1730 1903 2595 2970 3114 3806 4671 5190 5709 7785 9342 9515 11418 15570 17127 19030 23355 28545 34254 45389 46710 51381 57090 85635 90778 102762 136167 171270 226945 256905 272334 408501 453890 499279 513810 680835 817002 998558 1225503 1361670 1497837 2042505 2451006 2496395 2995674 4085010 4493511 4992790 6127515 7489185 7852297 8987022 12255030 13480533 14978370 15704594 22467555 23556891 26961066 39261485 44935110 47113782 67402665 70670673 78522970 86375267 117784455 134805330 141341346 172750534 212012019 235568910 259125801 353353365 424024038 431876335 518251602 706706730 777377403 863752670 1060060095 1295629005 1554754806 2120120190 2332132209 2591258010 3886887015 4664264418 7773774030 11660661045 23321322090