Search a number
-
+
22213121334440 = 2354312914605427
BaseRepresentation
bin1010000110011111001010…
…01101001101110010101000
32220122112221121200220010212
411003033211031031302220
510402414433030200230
6115124322253000252
74451562566001221
oct503174515156250
986575847626125
1022213121334440
117094593997873
1225a9075483088
13c518c440c39a
1456b199700248
15287c33205895
hex1433e534dca8

22213121334440 has 32 divisors (see below), whose sum is σ = 51141837494880. Its totient is φ = 8678614846272.

The previous prime is 22213121334433. The next prime is 22213121334491. The reversal of 22213121334440 is 4443312131222.

It is a happy number.

It is a super-2 number, since 2×222131213344402 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22213121334397 and 22213121334406.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6457300994 + ... + 6457304433.

It is an arithmetic number, because the mean of its divisors is an integer number (1598182421715).

Almost surely, 222213121334440 is an apocalyptic number.

22213121334440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22213121334440 is an abundant number, since it is smaller than the sum of its proper divisors (28928716160440).

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

22213121334440 is a wasteful number, since it uses less digits than its factorization.

22213121334440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12914605481 (or 12914605477 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 22213121334440 its reverse (4443312131222), we get a palindrome (26656433465662).

The spelling of 22213121334440 in words is "twenty-two trillion, two hundred thirteen billion, one hundred twenty-one million, three hundred thirty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 43 86 172 215 344 430 860 1720 12914605427 25829210854 51658421708 64573027135 103316843416 129146054270 258292108540 516584217080 555328033361 1110656066722 2221312133444 2776640166805 4442624266888 5553280333610 11106560667220 22213121334440