Search a number
-
+
22444243420240 = 2453715391492659
BaseRepresentation
bin1010001101001101101010…
…01010000000010001010000
32221110122111220200100100201
411012212311022000101100
510420211302303421430
6115422424301224544
74504354163214235
oct506466512002120
987418456610321
1022444243420240
117173606321734
122625a17862154
13c6a638407c35
14578442c7778c
1528dc5da4d8ca
hex1469b5280450

22444243420240 has 80 divisors (see below), whose sum is σ = 53596804584960. Its totient is φ = 8734471626240.

The previous prime is 22444243420237. The next prime is 22444243420243. The reversal of 22444243420240 is 4202434244422.

It is an interprime number because it is at equal distance from previous prime (22444243420237) and next prime (22444243420243).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 22444243420240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22444243420243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45311031 + ... + 45803689.

It is an arithmetic number, because the mean of its divisors is an integer number (669960057312).

Almost surely, 222444243420240 is an apocalyptic number.

22444243420240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22444243420240 is an abundant number, since it is smaller than the sum of its proper divisors (31152561164720).

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

22444243420240 is a wasteful number, since it uses less digits than its factorization.

22444243420240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508100 (or 508094 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 37.

Adding to 22444243420240 its reverse (4202434244422), we get a palindrome (26646677664662).

The spelling of 22444243420240 in words is "twenty-two trillion, four hundred forty-four billion, two hundred forty-three million, four hundred twenty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 592 740 1480 2960 15391 30782 61564 76955 123128 153910 246256 307820 492659 569467 615640 985318 1138934 1231280 1970636 2277868 2463295 2847335 3941272 4555736 4926590 5694670 7882544 9111472 9853180 11389340 18228383 19706360 22778680 36456766 39412720 45557360 72913532 91141915 145827064 182283830 291654128 364567660 729135320 1458270640 7582514669 15165029338 30330058676 37912573345 60660117352 75825146690 121320234704 151650293380 280553042753 303300586760 561106085506 606601173520 1122212171012 1402765213765 2244424342024 2805530427530 4488848684048 5611060855060 11222121710120 22444243420240