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23222222232 = 23311213161043
BaseRepresentation
bin10101101000001001…
…101111110110011000
32012221101201010011220
4111220021233312120
5340024342102412
614400152452040
71451316426546
oct255011576630
965841633156
1023222222232
119937380300
1246010aa020
132261127201
1411a4216d96
1590daa868c
hex56826fd98

23222222232 has 96 divisors (see below), whose sum is σ = 64301307840. Its totient is φ = 6983204800.

The previous prime is 23222222227. The next prime is 23222222239.

23222222232 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 (23222222239) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 349903 + ... + 410945.

It is an arithmetic number, because the mean of its divisors is an integer number (669805290).

Almost surely, 223222222232 is an apocalyptic number.

23222222232 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 23222222232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32150653920).

23222222232 is an abundant number, since it is smaller than the sum of its proper divisors (41079085608).

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

23222222232 is a wasteful number, since it uses less digits than its factorization.

23222222232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61205 (or 61190 counting only the distinct ones).

The product of its digits is 4608, while the sum is 24.

The spelling of 23222222232 in words is "twenty-three billion, two hundred twenty-two million, two hundred twenty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 121 131 132 242 262 264 363 393 484 524 726 786 968 1048 1441 1452 1572 2882 2904 3144 4323 5764 8646 11528 15851 17292 31702 34584 47553 61043 63404 95106 122086 126808 183129 190212 244172 366258 380424 488344 671473 732516 1342946 1465032 2014419 2685892 4028838 5371784 7386203 7996633 8057676 14772406 15993266 16115352 22158609 23989899 29544812 31986532 44317218 47979798 59089624 63973064 87962963 88634436 95959596 175925926 177268872 191919192 263888889 351851852 527777778 703703704 967592593 1055555556 1935185186 2111111112 2902777779 3870370372 5805555558 7740740744 11611111116 23222222232