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2322142246193 = 711243390716319
BaseRepresentation
bin100001110010101010011…
…101101011010100110001
322012222212002022112021112
4201302222131223110301
5301021221403334233
64534435531203105
7326524564263140
oct41625235532461
98188762275245
102322142246193
118158a683a400
123160688a6495
1313ac9182a7b3
148056c5dd757
154060e517048
hex21caa76b531

2322142246193 has 48 divisors (see below), whose sum is σ = 2985857064960. Its totient is φ = 1766820353760.

The previous prime is 2322142246159. The next prime is 2322142246231. The reversal of 2322142246193 is 3916422412232.

2322142246193 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2322142246193 - 222 = 2322138051889 is a prime.

It is a super-2 number, since 2×23221422461932 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2322142246193.

It is not an unprimeable number, because it can be changed into a prime (2322142246093) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 142288688 + ... + 142305006.

It is an arithmetic number, because the mean of its divisors is an integer number (62205355520).

Almost surely, 22322142246193 is an apocalyptic number.

It is an amenable number.

2322142246193 is a deficient number, since it is larger than the sum of its proper divisors (663714818767).

2322142246193 is a wasteful number, since it uses less digits than its factorization.

2322142246193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20298 (or 20287 counting only the distinct ones).

The product of its digits is 248832, while the sum is 41.

The spelling of 2322142246193 in words is "two trillion, three hundred twenty-two billion, one hundred forty-two million, two hundred forty-six thousand, one hundred ninety-three".

Divisors: 1 7 11 43 77 121 301 473 847 3311 3907 5203 16319 27349 36421 42977 114233 168001 179509 300839 472747 701717 1176007 1256563 1848011 1974599 3309229 4912019 7718887 12936077 13822193 20328121 54032209 63758333 84907757 142296847 446308331 594354299 701341663 2741608319 4909391641 7714758293 19191258233 30157691509 54003308051 211103840563 331734606599 2322142246193