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2320690177 = 134397127337
BaseRepresentation
bin1000101001010010…
…1110110000000001
312222201210021110001
42022110232300001
514223044041202
61022140240001
7111336353401
oct21224566001
95881707401
102320690177
11a90a72973
12549240001
132aca3a770
141802d6801
15d8b0bd87
hex8a52ec01

2320690177 has 32 divisors (see below), whose sum is σ = 2611761152. Its totient is φ = 2048385024.

The previous prime is 2320690123. The next prime is 2320690187. The reversal of 2320690177 is 7710960232.

It is a 2-Lehmer number, since φ(2320690177) divides (2320690177-1)2.

It is a cyclic number.

It is a Carmichael number.

It is a de Polignac number, because none of the positive numbers 2k-2320690177 is a prime.

It is a deceptive number, since it divides R2320690176.

It is not an unprimeable number, because it can be changed into a prime (2320690117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6886153 + ... + 6886489.

It is an arithmetic number, because the mean of its divisors is an integer number (81617536).

It is a Poulet number, since it divides 22320690176-1.

Almost surely, 22320690177 is an apocalyptic number.

It is an amenable number.

2320690177 is a deficient number, since it is larger than the sum of its proper divisors (291070975).

2320690177 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (2320690176) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (617).

2320690177 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617.

The product of its (nonzero) digits is 31752, while the sum is 37.

The square root of 2320690177 is about 48173.5422924244. The cubic root of 2320690177 is about 1323.9524511497.

The spelling of 2320690177 in words is "two billion, three hundred twenty million, six hundred ninety thousand, one hundred seventy-seven".

Divisors: 1 13 43 97 127 337 559 1261 1651 4171 4381 5461 12319 14491 32689 42799 54223 70993 160147 188383 424957 529717 556387 1405627 1840357 4151503 6886321 18273151 23924641 53969539 178514629 2320690177