Search a number
-
+
22323344320440 = 23325116329533051
BaseRepresentation
bin1010001001101100011110…
…00000100010011110111000
32221001002110020200201210200
411010312033000202132320
510411221202121223230
6115251111450042200
74462544165632512
oct504661700423670
987032406621720
1022323344320440
11712730599a629
1226064b6a19360
13c5c10bb80b67
1457265436abb2
1528aa34b98160
hex144d8f0227b8

22323344320440 has 96 divisors (see below), whose sum is σ = 72551628817200. Its totient is φ = 5952829478400.

The previous prime is 22323344320427. The next prime is 22323344320441. The reversal of 22323344320440 is 4402344332322.

22323344320440 is a `hidden beast` number, since 2 + 2 + 3 + 2 + 3 + 3 + 443 + 204 + 4 + 0 = 666.

It is a super-3 number, since 3×223233443204403 (a number of 41 digits) contains 333 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 = 22323344320395 and 22323344320404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22323344320441) 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, 41611915 + ... + 42144965.

Almost surely, 222323344320440 is an apocalyptic number.

22323344320440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22323344320440 is an abundant number, since it is smaller than the sum of its proper divisors (50228284496760).

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

22323344320440 is a wasteful number, since it uses less digits than its factorization.

22323344320440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649397 (or 649390 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 36.

Adding to 22323344320440 its reverse (4402344332322), we get a palindrome (26725688652762).

The spelling of 22323344320440 in words is "twenty-two trillion, three hundred twenty-three billion, three hundred forty-four million, three hundred twenty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 116329 232658 348987 465316 533051 581645 697974 930632 1046961 1066102 1163290 1395948 1599153 1744935 2093922 2132204 2326580 2665255 2791896 3198306 3489870 4187844 4264408 4653160 4797459 5234805 5330510 6396612 6979740 7995765 8375688 9594918 10469610 10661020 12793224 13959480 15991530 19189836 20939220 21322040 23987295 31983060 38379672 41878440 47974590 63966120 95949180 191898360 62009289779 124018579558 186027869337 248037159116 310046448895 372055738674 496074318232 558083608011 620092897790 744111477348 930139346685 1116167216022 1240185795580 1488222954696 1860278693370 2232334432044 2480371591160 2790418040055 3720557386740 4464668864088 5580836080110 7441114773480 11161672160220 22323344320440