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22424625112140 = 22335313191325939
BaseRepresentation
bin1010001100101001000111…
…10100000110010001001100
32221101202212200101000222000
411012110203310012101030
510414401113012042030
6115405421444552300
74503061054310556
oct506244364062114
987352780330860
1022424625112140
1171662592a3469
1226220616b2690
13c6882cb315c4
1457750154c4d6
1528d4b157b860
hex146523d0644c

22424625112140 has 96 divisors (see below), whose sum is σ = 69767780544000. Its totient is φ = 5979704584896.

The previous prime is 22424625112117. The next prime is 22424625112147. The reversal of 22424625112140 is 4121152642422.

22424625112140 is a `hidden beast` number, since 2 + 2 + 4 + 2 + 4 + 625 + 1 + 1 + 21 + 4 + 0 = 666.

It is a super-2 number, since 2×224246251121402 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 22424625112095 and 22424625112104.

It is not an unprimeable number, because it can be changed into a prime (22424625112147) 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, 16249291 + ... + 17575229.

It is an arithmetic number, because the mean of its divisors is an integer number (726747714000).

Almost surely, 222424625112140 is an apocalyptic number.

22424625112140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22424625112140 is an abundant number, since it is smaller than the sum of its proper divisors (47343155431860).

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

22424625112140 is a wasteful number, since it uses less digits than its factorization.

22424625112140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1357276 (or 1357268 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

Adding to 22424625112140 its reverse (4121152642422), we get a palindrome (26545777754562).

The spelling of 22424625112140 in words is "twenty-two trillion, four hundred twenty-four billion, six hundred twenty-five million, one hundred twelve thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 31319 62638 93957 125276 156595 187914 281871 313190 375828 469785 563742 626380 845613 939570 1127484 1325939 1409355 1691226 1879140 2651878 2818710 3382452 3977817 4228065 5303756 5637420 6629695 7955634 8456130 11933451 13259390 15911268 16912260 19889085 23866902 26518780 35800353 39778170 47733804 59667255 71600706 79556340 119334510 143201412 179001765 238669020 358003530 716007060 41527083541 83054167082 124581250623 166108334164 207635417705 249162501246 373743751869 415270835410 498325002492 622906253115 747487503738 830541670820 1121231255607 1245812506230 1494975007476 1868718759345 2242462511214 2491625012460 3737437518690 4484925022428 5606156278035 7474875037380 11212312556070 22424625112140