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23312682080 = 2551722272221
BaseRepresentation
bin10101101101100010…
…110100110001100000
32020011200220221202122
4111231202310301200
5340221021311310
614413143403412
71453465346102
oct255542646140
966150827678
1023312682080
119983446106
124627453568
132276aaa54c
1411b2243572
159169c6555
hex56d8b4c60

23312682080 has 144 divisors (see below), whose sum is σ = 58790760336. Its totient is φ = 8733941760.

The previous prime is 23312682077. The next prime is 23312682083. The reversal of 23312682080 is 8028621332.

It is an interprime number because it is at equal distance from previous prime (23312682077) and next prime (23312682083).

It is a super-2 number, since 2×233126820802 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 23312682080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23312682083) 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, 10495370 + ... + 10497590.

It is an arithmetic number, because the mean of its divisors is an integer number (408269169).

Almost surely, 223312682080 is an apocalyptic number.

23312682080 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 23312682080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29395380168).

23312682080 is an abundant number, since it is smaller than the sum of its proper divisors (35478078256).

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

23312682080 is a wasteful number, since it uses less digits than its factorization.

23312682080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2497 (or 2472 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The spelling of 23312682080 in words is "twenty-three billion, three hundred twelve million, six hundred eighty-two thousand, eighty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 227 272 289 340 454 544 578 680 908 1135 1156 1360 1445 1816 2221 2270 2312 2720 2890 3632 3859 4442 4540 4624 5780 7264 7718 8884 9080 9248 11105 11560 15436 17768 18160 19295 22210 23120 30872 35536 36320 37757 38590 44420 46240 61744 65603 71072 75514 77180 88840 123488 131206 151028 154360 177680 188785 262412 302056 308720 328015 355360 377570 504167 524824 604112 617440 641869 656030 755140 1008334 1049648 1208224 1283738 1312060 1510280 2016668 2099296 2520835 2567476 2624120 3020560 3209345 4033336 5041670 5134952 5248240 6041120 6418690 8066672 8570839 10083340 10269904 10496480 12837380 16133344 17141678 20166680 20539808 25674760 34283356 40333360 42854195 51349520 68566712 80666720 85708390 102699040 137133424 145704263 171416780 274266848 291408526 342833560 582817052 685667120 728521315 1165634104 1371334240 1457042630 2331268208 2914085260 4662536416 5828170520 11656341040 23312682080