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23221322312232 = 23311374177569137
BaseRepresentation
bin1010100011110101000101…
…01010101110101000101000
310001012221021212201011020010
411101322202222232220220
511020424232002442412
6121215421142531520
74614454004626422
oct521724252565050
9101187255634203
1023221322312232
117443120080760
122730545a36ba0
13cc59b87583b5
145a3cbcda9812
152a408e91633c
hex151ea2aaea28

23221322312232 has 128 divisors (see below), whose sum is σ = 65058210311040. Its totient is φ = 6844930375680.

The previous prime is 23221322312189. The next prime is 23221322312249.

It is a happy number.

23221322312232 is nontrivially palindromic in base 10.

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

It is a self number, because there is not a number n which added to its sum of digits gives 23221322312232.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40516368 + ... + 41085504.

It is an arithmetic number, because the mean of its divisors is an integer number (508267268055).

Almost surely, 223221322312232 is an apocalyptic number.

23221322312232 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 23221322312232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32529105155520).

23221322312232 is an abundant number, since it is smaller than the sum of its proper divisors (41836887998808).

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

23221322312232 is a wasteful number, since it uses less digits than its factorization.

23221322312232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573371 (or 573367 counting only the distinct ones).

The product of its digits is 20736, while the sum is 30.

It can be divided in two parts, 2322132 and 2312232, that added together give a palindrome (4634364).

The spelling of 23221322312232 in words is "twenty-three trillion, two hundred twenty-one billion, three hundred twenty-two million, three hundred twelve thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 37 44 66 74 88 111 132 148 222 264 296 407 444 814 888 1221 1628 2442 3256 4177 4884 8354 9768 12531 16708 25062 33416 45947 50124 91894 100248 137841 154549 183788 275682 309098 367576 463647 551364 569137 618196 927294 1102728 1138274 1236392 1700039 1707411 1854588 2276548 3400078 3414822 3709176 4553096 5100117 6260507 6800156 6829644 10200234 12521014 13600312 13659288 18781521 20400468 21058069 25042028 37563042 40800936 42116138 50084056 63174207 75126084 84232276 126348414 150252168 168464552 231638759 252696828 463277518 505393656 694916277 926555036 1389832554 1853110072 2377285249 2779665108 4754570498 5559330216 7131855747 9509140996 14263711494 19018281992 26150137739 28527422988 52300275478 57054845976 78450413217 87959554213 104600550956 156900826434 175919108426 209201101912 263878662639 313801652868 351838216852 527757325278 627603305736 703676433704 967555096343 1055514650556 1935110192686 2111029301112 2902665289029 3870220385372 5805330578058 7740440770744 11610661156116 23221322312232