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22541141440 = 26570441067
BaseRepresentation
bin10100111111100011…
…101000010111000000
32011011221010121222101
4110333203220113000
5332131013011230
614204422520144
71425406353346
oct247743502700
964157117871
1022541141440
119617983214
124450b96054
132182cb031c
14113b9a5996
158bddc1aca
hex53f8e85c0

22541141440 has 28 divisors (see below), whose sum is σ = 53676093816. Its totient is φ = 9016456448.

The previous prime is 22541141429. The next prime is 22541141471. The reversal of 22541141440 is 4414114522.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 22541141399 and 22541141408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 35220214 + ... + 35220853.

Almost surely, 222541141440 is an apocalyptic number.

22541141440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22541141440 is an abundant number, since it is smaller than the sum of its proper divisors (31134952376).

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

22541141440 is an equidigital number, since it uses as much as digits as its factorization.

22541141440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70441084 (or 70441074 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 28.

Adding to 22541141440 its reverse (4414114522), we get a palindrome (26955255962).

The spelling of 22541141440 in words is "twenty-two billion, five hundred forty-one million, one hundred forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 70441067 140882134 281764268 352205335 563528536 704410670 1127057072 1408821340 2254114144 2817642680 4508228288 5635285360 11270570720 22541141440