Search a number
-
+
23010117440 = 265176169341
BaseRepresentation
bin10101011011100000…
…101000011101000000
32012101121121002002212
4111123200220131000
5334111042224230
614323134401252
71443132525332
oct253340503500
965347532085
1023010117440
11983867a892
124562060228
1322291c230b
141183da3452
158ea15c895
hex55b828740

23010117440 has 112 divisors (see below), whose sum is σ = 58967882064. Its totient is φ = 8520499200.

The previous prime is 23010117437. The next prime is 23010117509. The reversal of 23010117440 is 4471101032.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2689044736 + 20321072704 = 51856^2 + 142552^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 297170 + ... + 366510.

It is an arithmetic number, because the mean of its divisors is an integer number (526498947).

Almost surely, 223010117440 is an apocalyptic number.

23010117440 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 23010117440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29483941032).

23010117440 is an abundant number, since it is smaller than the sum of its proper divisors (35957764624).

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

23010117440 is a wasteful number, since it uses less digits than its factorization.

23010117440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69436 (or 69426 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

Adding to 23010117440 its reverse (4471101032), we get a palindrome (27481218472).

The spelling of 23010117440 in words is "twenty-three billion, ten million, one hundred seventeen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 61 64 68 80 85 122 136 160 170 244 272 305 320 340 488 544 610 680 976 1037 1088 1220 1360 1952 2074 2440 2720 3904 4148 4880 5185 5440 8296 9760 10370 16592 19520 20740 33184 41480 66368 69341 82960 138682 165920 277364 331840 346705 554728 693410 1109456 1178797 1386820 2218912 2357594 2773640 4229801 4437824 4715188 5547280 5893985 8459602 9430376 11094560 11787970 16919204 18860752 21149005 22189120 23575940 33838408 37721504 42298010 47151880 67676816 71906617 75443008 84596020 94303760 135353632 143813234 169192040 188607520 270707264 287626468 338384080 359533085 377215040 575252936 676768160 719066170 1150505872 1353536320 1438132340 2301011744 2876264680 4602023488 5752529360 11505058720 23010117440