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234144422420 = 22524148577681
BaseRepresentation
bin1101101000010000011…
…0000101101000010100
3211101100221001001122012
43122010012011220110
512314011433004140
6255321531323352
722626213516026
oct3320406055024
9741327031565
10234144422420
1190333471127
12394665b0558
1319106200c1c
14b492b16016
156155d50265
hex3684185a14

234144422420 has 24 divisors (see below), whose sum is σ = 493743559848. Its totient is φ = 93269145600.

The previous prime is 234144422419. The next prime is 234144422431. The reversal of 234144422420 is 24224441432.

It can be written as a sum of positive squares in 4 ways, for example, as 4316227204 + 229828195216 = 65698^2 + 479404^2 .

It is a super-2 number, since 2×2341444224202 (a number of 24 digits) contains 22 as substring.

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, 24284021 + ... + 24293660.

It is an arithmetic number, because the mean of its divisors is an integer number (20572648327).

Almost surely, 2234144422420 is an apocalyptic number.

234144422420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234144422420 is an abundant number, since it is smaller than the sum of its proper divisors (259599137428).

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

234144422420 is a wasteful number, since it uses less digits than its factorization.

234144422420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48577931 (or 48577929 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 234144422420 its reverse (24224441432), we get a palindrome (258368863852).

The spelling of 234144422420 in words is "two hundred thirty-four billion, one hundred forty-four million, four hundred twenty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 241 482 964 1205 2410 4820 48577681 97155362 194310724 242888405 485776810 971553620 11707221121 23414442242 46828884484 58536105605 117072211210 234144422420