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23314002440 = 23519231916983
BaseRepresentation
bin10101101101100111…
…110111001000001000
32020011210102000221212
4111231213313020020
5340221341034230
614413231552252
71453512515411
oct255547671010
966153360855
1023314002440
119984168113
12462798b688
132277150521
1411b24a8808
15916b87895
hex56d9f7208

23314002440 has 128 divisors (see below), whose sum is σ = 57928089600. Its totient is φ = 8405210880.

The previous prime is 23314002431. The next prime is 23314002443. The reversal of 23314002440 is 4420041332.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is not an unprimeable number, because it can be changed into a prime (23314002443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3335189 + ... + 3342171.

It is an arithmetic number, because the mean of its divisors is an integer number (452563200).

Almost surely, 223314002440 is an apocalyptic number.

23314002440 is a gapful number since it is divisible by the number (20) 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 23314002440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28964044800).

23314002440 is an abundant number, since it is smaller than the sum of its proper divisors (34614087160).

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

23314002440 is a wasteful number, since it uses less digits than its factorization.

23314002440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7227 (or 7223 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 23314002440 its reverse (4420041332), we get a palindrome (27734043772).

The spelling of 23314002440 in words is "twenty-three billion, three hundred fourteen million, two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 19 20 23 38 40 46 76 92 95 115 152 184 190 191 230 380 382 437 460 760 764 874 920 955 1528 1748 1910 2185 3496 3629 3820 4370 4393 6983 7258 7640 8740 8786 13966 14516 17480 17572 18145 21965 27932 29032 34915 35144 36290 43930 55864 69830 72580 83467 87860 132677 139660 145160 160609 166934 175720 265354 279320 321218 333868 417335 530708 642436 663385 667736 803045 834670 1061416 1284872 1326770 1333753 1606090 1669340 2653540 2667506 3051571 3212180 3338680 5307080 5335012 6103142 6424360 6668765 10670024 12206284 13337530 15257855 24412568 25341307 26675060 30515710 30676319 50682614 53350120 61031420 61352638 101365228 122062840 122705276 126706535 153381595 202730456 245410552 253413070 306763190 506826140 582850061 613526380 1013652280 1165700122 1227052760 2331400244 2914250305 4662800488 5828500610 11657001220 23314002440