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2272161398067 = 321127827824779
BaseRepresentation
bin100001000100000111010…
…111110111110100110011
322001012211211112101002100
4201010013113313310303
5244211341304214232
64455452212151443
7323105164134561
oct41040727676463
98035754471070
102272161398067
117a6688968450
1230843a308583
13136357a35152
147bd8a656a31
153e1866a6c7c
hex211075f7d33

2272161398067 has 24 divisors (see below), whose sum is σ = 3580508543040. Its totient is φ = 1377016357680.

The previous prime is 2272161398053. The next prime is 2272161398147. The reversal of 2272161398067 is 7608931612722.

It is a happy number.

2272161398067 is a `hidden beast` number, since 22 + 72 + 161 + 398 + 0 + 6 + 7 = 666.

It is not a de Polignac number, because 2272161398067 - 28 = 2272161397811 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2272161398567) 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, 2342484 + ... + 3167262.

It is an arithmetic number, because the mean of its divisors is an integer number (149187855960).

Almost surely, 22272161398067 is an apocalyptic number.

2272161398067 is a deficient number, since it is larger than the sum of its proper divisors (1308347144973).

2272161398067 is a wasteful number, since it uses less digits than its factorization.

2272161398067 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 852623 (or 852620 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 2272161398067 in words is "two trillion, two hundred seventy-two billion, one hundred sixty-one million, three hundred ninety-eight thousand, sixty-seven".

Divisors: 1 3 9 11 33 99 27827 83481 250443 306097 824779 918291 2474337 2754873 7423011 9072569 27217707 81653121 22951125233 68853375699 206560127097 252462377563 757387132689 2272161398067