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33221223132 = 223171915535519
BaseRepresentation
bin11110111100001000…
…111010001011011100
310011202020120222210120
4132330020322023130
51021014113120012
623132302034540
72254152510636
oct367410721334
9104666528716
1033221223132
11130a8572709
126531878a50
1331958549a6
141872199a56
15ce681a58c
hex7bc23a2dc

33221223132 has 96 divisors (see below), whose sum is σ = 86467046400. Its totient is φ = 9865654272.

The previous prime is 33221223131. The next prime is 33221223157. The reversal of 33221223132 is 23132212233.

It is a super-2 number, since 2×332212231322 (a number of 22 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33221223131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6016669 + ... + 6022187.

It is an arithmetic number, because the mean of its divisors is an integer number (900698400).

Almost surely, 233221223132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33221223132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43233523200).

33221223132 is an abundant number, since it is smaller than the sum of its proper divisors (53245823268).

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

33221223132 is a wasteful number, since it uses less digits than its factorization.

33221223132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7115 (or 7113 counting only the distinct ones).

The product of its digits is 2592, while the sum is 24.

Adding to 33221223132 its reverse (23132212233), we get a palindrome (56353435365).

The spelling of 33221223132 in words is "thirty-three billion, two hundred twenty-one million, two hundred twenty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 17 19 34 38 51 57 68 76 102 114 204 228 323 646 969 1292 1553 1938 3106 3876 4659 5519 6212 9318 11038 16557 18636 22076 26401 29507 33114 52802 59014 66228 79203 88521 93823 104861 105604 118028 158406 177042 187646 209722 281469 314583 316812 354084 375292 419444 501619 562938 629166 1003238 1125876 1258332 1504857 1782637 2006476 3009714 3565274 5347911 6019428 7130548 8571007 10695822 17142014 21391644 25713021 34284028 51426042 102852084 145707119 162849133 291414238 325698266 437121357 488547399 582828476 651396532 874242714 977094798 1748485428 1954189596 2768435261 5536870522 8305305783 11073741044 16610611566 33221223132