Search a number
-
+
2222540103040 = 27517204277583
BaseRepresentation
bin100000010101111001101…
…101101001110110000000
321212110202122022102000121
4200111321231221312000
5242403230231244130
64421004255430024
7316400421112135
oct40257155516600
97773678272017
102222540103040
11787634a46014
122ba8b0225314
1313177a58c00a
147980034658c
153cc301bad7a
hex20579b69d80

2222540103040 has 64 divisors (see below), whose sum is σ = 5625804663360. Its totient is φ = 836720975872.

The previous prime is 2222540103037. The next prime is 2222540103067. The reversal of 2222540103040 is 403010452222.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 2222540102996 and 2222540103014.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 102127912 + ... + 102149671.

It is an arithmetic number, because the mean of its divisors is an integer number (87903197865).

Almost surely, 22222540103040 is an apocalyptic number.

2222540103040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2222540103040 is an abundant number, since it is smaller than the sum of its proper divisors (3403264560320).

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

2222540103040 is a wasteful number, since it uses less digits than its factorization.

2222540103040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204277619 (or 204277607 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 2222540103040 its reverse (403010452222), we get a palindrome (2625550555262).

The spelling of 2222540103040 in words is "two trillion, two hundred twenty-two billion, five hundred forty million, one hundred three thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 272 320 340 544 640 680 1088 1360 2176 2720 5440 10880 204277583 408555166 817110332 1021387915 1634220664 2042775830 3268441328 3472718911 4085551660 6536882656 6945437822 8171103320 13073765312 13890875644 16342206640 17363594555 26147530624 27781751288 32684413280 34727189110 55563502576 65368826560 69454378220 111127005152 130737653120 138908756440 222254010304 277817512880 444508020608 555635025760 1111270051520 2222540103040