Search a number
-
+
23225403424120 = 2358334920839623
BaseRepresentation
bin1010100011111100101011…
…11010111011110101111000
310001020022211022001010021021
411101332111322323311320
511021011111234032440
6121221334131152224
74614660101540002
oct521762572736570
9101208738033237
1023225403424120
1174449248254a7
1227312a4745674
13cc61b91092c1
145a4188dd5372
152a422cd5e84a
hex151f95ebbd78

23225403424120 has 128 divisors (see below), whose sum is σ = 53069276736000. Its totient is φ = 9146588834304.

The previous prime is 23225403424117. The next prime is 23225403424121. The reversal of 23225403424120 is 2142430452232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23225403424121) 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, 2413525629 + ... + 2413535251.

It is an arithmetic number, because the mean of its divisors is an integer number (414603724500).

Almost surely, 223225403424120 is an apocalyptic number.

23225403424120 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 23225403424120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26534638368000).

23225403424120 is an abundant number, since it is smaller than the sum of its proper divisors (29843873311880).

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

23225403424120 is a wasteful number, since it uses less digits than its factorization.

23225403424120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12149 (or 12145 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 34.

Adding to 23225403424120 its reverse (2142430452232), we get a palindrome (25367833876352).

The spelling of 23225403424120 in words is "twenty-three trillion, two hundred twenty-five billion, four hundred three million, four hundred twenty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 83 166 332 349 415 664 698 830 1396 1660 1745 2083 2792 3320 3490 4166 6980 8332 9623 10415 13960 16664 19246 20830 28967 38492 41660 48115 57934 76984 83320 96230 115868 144835 172889 192460 231736 289670 345778 384920 579340 691556 726967 798709 864445 1158680 1383112 1453934 1597418 1728890 2907868 3194836 3358427 3457780 3634835 3993545 5815736 6389672 6716854 6915560 7269670 7987090 13433708 14539340 15974180 16792135 20044709 26867416 29078680 31948360 33584270 40089418 60338261 67168540 80178836 100223545 120676522 134337080 160357672 200447090 241353044 278749441 301691305 400894180 482706088 557498882 603382610 801788360 1114997764 1206765220 1393747205 1663710847 2229995528 2413530440 2787494410 3327421694 5574988820 6654843388 6995603441 8318554235 11149977640 13309686776 13991206882 16637108470 27982413764 33274216940 34978017205 55964827528 66548433880 69956034410 139912068820 279824137640 580635085603 1161270171206 2322540342412 2903175428015 4645080684824 5806350856030 11612701712060 23225403424120