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42222122122224 = 2431179966140383
BaseRepresentation
bin10011001100110100110101…
…00101110011101111110000
312112111101200021201210110010
421212122122211303233300
521013231401230402344
6225444324121134520
711615306355325002
oct1146323245635760
9175441607653403
1042222122122224
11124a93352339a0
12489ab1b32a440
131a736b538ab45
14a5d7c10da372
154d34633718b9
hex26669a973bf0

42222122122224 has 40 divisors (see below), whose sum is σ = 118989616891392. Its totient is φ = 12794582461120.

The previous prime is 42222122122189. The next prime is 42222122122261.

42222122122224 is nontrivially palindromic in base 10.

42222122122224 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 42222122122191 and 42222122122200.

It is a congruent number.

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, 39983069664 + ... + 39983070719.

Almost surely, 242222122122224 is an apocalyptic number.

42222122122224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42222122122224 is an abundant number, since it is smaller than the sum of its proper divisors (76767494769168).

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

42222122122224 is a wasteful number, since it uses less digits than its factorization.

42222122122224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79966140405 (or 79966140399 counting only the distinct ones).

The product of its digits is 16384, while the sum is 30.

It can be divided in two parts, 4222212 and 2122224, that added together give a palindrome (6344436).

The spelling of 42222122122224 in words is "forty-two trillion, two hundred twenty-two billion, one hundred twenty-two million, one hundred twenty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 79966140383 159932280766 239898421149 319864561532 479796842298 639729123064 879627544213 959593684596 1279458246128 1759255088426 1919187369192 2638882632639 3518510176852 3838374738384 5277765265278 7037020353704 10555530530556 14074040707408 21111061061112 42222122122224