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23220244243240 = 23511251509413069
BaseRepresentation
bin1010100011110011000100…
…11010001110001100101000
310001012211111202010120120221
411101321202122032030220
511020420030011240430
6121215122152055424
74614415204324222
oct521714232161450
9101184452116527
1023220244243240
117442717585550
1227302a4994574
13cc58762b5a55
145a3c19b39412
152a4029e6357a
hex151e6268e328

23220244243240 has 128 divisors (see below), whose sum is σ = 57334776912000. Its totient is φ = 8393541760000.

The previous prime is 23220244243181. The next prime is 23220244243277. The reversal of 23220244243240 is 4234244202232.

It is a junction number, because it is equal to n+sod(n) for n = 23220244243196 and 23220244243205.

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, 56007426 + ... + 56420494.

It is an arithmetic number, because the mean of its divisors is an integer number (447927944625).

Almost surely, 223220244243240 is an apocalyptic number.

23220244243240 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 23220244243240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28667388456000).

23220244243240 is an abundant number, since it is smaller than the sum of its proper divisors (34114532668760).

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

23220244243240 is a wasteful number, since it uses less digits than its factorization.

23220244243240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413851 (or 413847 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 34.

Adding to 23220244243240 its reverse (4234244202232), we get a palindrome (27454488445472).

The spelling of 23220244243240 in words is "twenty-three trillion, two hundred twenty billion, two hundred forty-four million, two hundred forty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 251 440 502 509 1004 1018 1255 2008 2036 2510 2545 2761 4072 5020 5090 5522 5599 10040 10180 11044 11198 13805 20360 22088 22396 27610 27995 44792 55220 55990 110440 111980 127759 223960 255518 413069 511036 638795 826138 1022072 1277590 1405349 1652276 2065345 2555180 2810698 3304552 4130690 4543759 5110360 5621396 7026745 8261380 9087518 11242792 14053490 16522760 18175036 22718795 28106980 36350072 45437590 56213960 90875180 103680319 181750360 207360638 210252121 414721276 420504242 518401595 829442552 841008484 1036803190 1051260605 1140483509 1682016968 2073606380 2102521210 2280967018 2312773331 4147212760 4205042420 4561934036 4625546662 5702417545 8410084840 9123868072 9251093324 11404835090 11563866655 18502186648 22809670180 23127733310 45619340360 46255466620 52773282371 92510933240 105546564742 211093129484 263866411855 422186258968 527732823710 580506106081 1055465647420 1161012212162 2110931294840 2322024424324 2902530530405 4644048848648 5805061060810 11610122121620 23220244243240