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23221221012 = 223211299919553
BaseRepresentation
bin10101101000000101…
…111011011010010100
32012221022211020202200
4111220011323122110
5340024113033022
614400115204500
71451305056543
oct255005733224
965838736680
1023221221012
119936857050
1246008a6730
132260b66582
1411a403615a
1590d95bbac
hex56817b694

23221221012 has 72 divisors (see below), whose sum is σ = 64058904000. Its totient is φ = 7034027520.

The previous prime is 23221220993. The next prime is 23221221017. The reversal of 23221221012 is 21012212232.

23221221012 is a `hidden beast` number, since 232 + 212 + 210 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23221221017) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1177828 + ... + 1197380.

It is an arithmetic number, because the mean of its divisors is an integer number (889707000).

Almost surely, 223221221012 is an apocalyptic number.

23221221012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23221221012 is an abundant number, since it is smaller than the sum of its proper divisors (40837682988).

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

23221221012 is a wasteful number, since it uses less digits than its factorization.

23221221012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22573 (or 22568 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 23221221012 its reverse (21012212232), we get a palindrome (44233433244).

The spelling of 23221221012 in words is "twenty-three billion, two hundred twenty-one million, two hundred twenty-one thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 2999 5998 8997 11996 17994 19553 26991 32989 35988 39106 53982 58659 65978 78212 98967 107964 117318 131956 175977 197934 215083 234636 296901 351954 395868 430166 593802 645249 703908 860332 1187604 1290498 1935747 2580996 3871494 7742988 58639447 117278894 175918341 234557788 351836682 527755023 645033917 703673364 1055510046 1290067834 1935101751 2111020092 2580135668 3870203502 5805305253 7740407004 11610610506 23221221012