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2164105434 = 2319532511427
BaseRepresentation
bin1000000011111101…
…1010000011011010
312120211010221120010
42000333122003122
513413002333214
6554424142350
7104425410201
oct20077320332
95524127503
102164105434
11a10643497
125049079b6
1328647467a
141675b6238
15c9ecb659
hex80fda0da

2164105434 has 64 divisors (see below), whose sum is σ = 4663733760. Its totient is φ = 667368000.

The previous prime is 2164105429. The next prime is 2164105439. The reversal of 2164105434 is 4345014612.

It is an interprime number because it is at equal distance from previous prime (2164105429) and next prime (2164105439).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2164105439) 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, 1515829 + ... + 1517255.

It is an arithmetic number, because the mean of its divisors is an integer number (72870840).

Almost surely, 22164105434 is an apocalyptic number.

2164105434 is an abundant number, since it is smaller than the sum of its proper divisors (2499628326).

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

2164105434 is a wasteful number, since it uses less digits than its factorization.

2164105434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1755.

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 2164105434 is about 46519.9466250769. The cubic root of 2164105434 is about 1293.4792669466.

The spelling of 2164105434 in words is "two billion, one hundred sixty-four million, one hundred five thousand, four hundred thirty-four".

Divisors: 1 2 3 6 19 38 53 57 106 114 159 251 318 502 753 1007 1427 1506 2014 2854 3021 4281 4769 6042 8562 9538 13303 14307 26606 27113 28614 39909 54226 75631 79818 81339 151262 162678 226893 252757 358177 453786 505514 716354 758271 1074531 1436989 1516542 2149062 2873978 4310967 6805363 8621934 13610726 18983381 20416089 37966762 40832178 56950143 113900286 360684239 721368478 1082052717 2164105434