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23322200132 = 22721171251607
BaseRepresentation
bin10101101110000111…
…001000100001000100
32020012100211112002002
4111232013020201010
5340230440401012
614414123404432
71453642300400
oct255607104104
966170745062
1023322200132
119988857170
12462a683718
132278a6092a
1411b3600100
159177567c2
hex56e1c8844

23322200132 has 144 divisors (see below), whose sum is σ = 52819070976. Its totient is φ = 8908200000.

The previous prime is 23322200107. The next prime is 23322200197. The reversal of 23322200132 is 23100222332.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38421773 + ... + 38422379.

It is an arithmetic number, because the mean of its divisors is an integer number (366799104).

Almost surely, 223322200132 is an apocalyptic number.

23322200132 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 23322200132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26409535488).

23322200132 is an abundant number, since it is smaller than the sum of its proper divisors (29496870844).

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

23322200132 is a wasteful number, since it uses less digits than its factorization.

23322200132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 958 (or 949 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 23322200132 its reverse (23100222332), we get a palindrome (46422422464).

It can be divided in two parts, 23322200 and 132, that added together give a palindrome (23322332).

The spelling of 23322200132 in words is "twenty-three billion, three hundred twenty-two million, two hundred thousand, one hundred thirty-two".

Divisors: 1 2 4 7 11 14 22 28 44 49 71 77 98 142 154 196 251 284 308 497 502 539 607 781 994 1004 1078 1214 1562 1757 1988 2156 2428 2761 3124 3479 3514 4249 5467 5522 6677 6958 7028 8498 10934 11044 12299 13354 13916 16996 17821 19327 21868 24598 26708 29743 35642 38269 38654 43097 46739 49196 59486 71284 76538 77308 86194 93478 118972 124747 135289 152357 153076 172388 186956 196031 249494 270578 301679 304714 327173 392062 474067 498988 541156 603358 609428 654346 784124 873229 948134 1066499 1206716 1308692 1372217 1675927 1746458 1896268 2111753 2132998 2744434 3318469 3351854 3492916 4223506 4265996 5488868 6636938 6703708 7465493 8447012 9605519 10817347 11731489 13273876 14930986 19211038 21634694 23229283 23462978 29861972 38422076 43269388 46458566 46925956 75721429 82120423 92917132 118990817 151442858 164240846 237981634 302885716 328481692 475963268 530050003 832935719 1060100006 1665871438 2120200012 3331742876 5830550033 11661100066 23322200132