Search a number
-
+
23218171928 = 23723311513851
BaseRepresentation
bin10101100111111010…
…010011000000011000
32012221010002100012122
4111213322103000120
5340022323000203
614355530000412
71451240130230
oct254772230030
965833070178
1023218171928
119935064246
1245bb876108
132260339793
1411a3880cc0
1590d558538
hex567e93018

23218171928 has 128 divisors (see below), whose sum is σ = 53960048640. Its totient is φ = 9147600000.

The previous prime is 23218171891. The next prime is 23218171943. The reversal of 23218171928 is 82917181232.

It is a congruent number.

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, 6027203 + ... + 6031053.

It is an arithmetic number, because the mean of its divisors is an integer number (421562880).

Almost surely, 223218171928 is an apocalyptic number.

23218171928 is a gapful number since it is divisible by the number (28) 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 23218171928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26980024320).

23218171928 is an abundant number, since it is smaller than the sum of its proper divisors (30741876712).

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

23218171928 is a wasteful number, since it uses less digits than its factorization.

23218171928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4069 (or 4065 counting only the distinct ones).

The product of its digits is 96768, while the sum is 44.

The spelling of 23218171928 in words is "twenty-three billion, two hundred eighteen million, one hundred seventy-one thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 14 23 28 31 46 56 62 92 124 151 161 184 217 248 302 322 434 604 644 713 868 1057 1208 1288 1426 1736 2114 2852 3473 3851 4228 4681 4991 5704 6946 7702 8456 9362 9982 13892 15404 18724 19964 24311 26957 27784 30808 32767 37448 39928 48622 53914 65534 88573 97244 107663 107828 119381 131068 177146 194488 215326 215656 238762 262136 354292 430652 477524 581501 620011 708584 753641 835667 861304 955048 1163002 1240022 1507282 1671334 2326004 2480044 2745763 3014564 3342668 4070507 4652008 4960088 5491526 6029128 6685336 8141014 10983052 13374523 16282028 18026531 19220341 21966104 26749046 32564056 36053062 38440682 53498092 72106124 76881364 93621661 106996184 126185717 144212248 153762728 187243322 252371434 374486644 414610213 504742868 748973288 829220426 1009485736 1658440852 2902271491 3316881704 5804542982 11609085964 23218171928