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223142523264342 = 232112933846356453
BaseRepresentation
bin110010101111001001101010…
…110101010101110101010110
31002021002012212010000211101100
4302233021222311111311112
5213221431341423424332
62110330132055210530
765000341513344603
oct6257115265256526
91067065763024340
10223142523264342
1165111238084030
122103a623676a46
13976833264b106
143d162275516aa
151abe6b0b5e67c
hexcaf26ad55d56

223142523264342 has 48 divisors (see below), whose sum is σ = 529227877218768. Its totient is φ = 67388165039040.

The previous prime is 223142523264341. The next prime is 223142523264361. The reversal of 223142523264342 is 243462325241322.

223142523264342 is a `hidden beast` number, since 2 + 2 + 3 + 1 + 4 + 25 + 23 + 264 + 342 = 666.

It is a super-3 number, since 3×2231425232643423 (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223142523264341) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1923120213 + ... + 1923236240.

It is an arithmetic number, because the mean of its divisors is an integer number (11025580775391).

Almost surely, 2223142523264342 is an apocalyptic number.

223142523264342 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

223142523264342 is an abundant number, since it is smaller than the sum of its proper divisors (306085353954426).

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

223142523264342 is a wasteful number, since it uses less digits than its factorization.

223142523264342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3846356765 (or 3846356762 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 45.

The spelling of 223142523264342 in words is "two hundred twenty-three trillion, one hundred forty-two billion, five hundred twenty-three million, two hundred sixty-four thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 293 586 879 1758 2637 3223 5274 6446 9669 19338 29007 58014 3846356453 7692712906 11539069359 23078138718 34617208077 42309920983 69234416154 84619841966 126929762949 253859525898 380789288847 761578577694 1126982440729 2253964881458 3380947322187 6761894644374 10142841966561 12396806848019 20285683933122 24793613696038 37190420544057 74380841088114 111571261632171 223142523264342