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23032222223032 = 23112591572568673
BaseRepresentation
bin1010011110010100110110…
…11011001000101010111000
310000112212012011112022101201
411033022123123020222320
511004324442342114112
6120552505023423544
74565010636452131
oct517123333105270
9100485164468351
1023032222223032
11737aa01aa5900
1226bb970754bb4
13cb0c106bb5a9
14598aa0782c88
1529e1c3360257
hex14f29b6c8ab8

23032222223032 has 96 divisors (see below), whose sum is σ = 48580303892400. Its totient is φ = 10226191472640.

The previous prime is 23032222222963. The next prime is 23032222223071.

It is a happy number.

23032222223032 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×230322222230322 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7682248 + ... + 10250920.

Almost surely, 223032222223032 is an apocalyptic number.

23032222223032 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 23032222223032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24290151946200).

23032222223032 is an abundant number, since it is smaller than the sum of its proper divisors (25548081669368).

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

23032222223032 is a wasteful number, since it uses less digits than its factorization.

23032222223032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2568917 (or 2568902 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 28.

It can be divided in two parts, 2303222 and 2223032, that added together give a palindrome (4526254).

The spelling of 23032222223032 in words is "twenty-three trillion, thirty-two billion, two hundred twenty-two million, two hundred twenty-three thousand, thirty-two".

Divisors: 1 2 4 8 11 22 44 59 88 118 121 157 236 242 314 472 484 628 649 968 1256 1298 1727 2596 3454 5192 6908 7139 9263 13816 14278 18526 18997 28556 37052 37994 57112 74104 75988 101893 151976 203786 407572 815144 1120823 2241646 2568673 4483292 5137346 8966584 10274692 20549384 28255403 56510806 113021612 151551707 226043224 303103414 310809433 403281661 606206828 621618866 806563322 1212413656 1243237732 1613126644 1667068777 2486475464 3226253288 3334137554 4436098271 6668275108 8872196542 13336550216 17744393084 18337756547 23793617999 35488786168 36675513094 47587235998 48797080981 73351026188 95174471996 97594161962 146702052376 190348943992 195188323924 261729797989 390376647848 523459595978 1046919191956 2093838383912 2879027777879 5758055555758 11516111111516 23032222223032