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2299991064 = 2337176191301
BaseRepresentation
bin1000100100010111…
…0001010000011000
312221021211122121020
42021011301100120
514202244203224
61020120442440
7110665413210
oct21105612030
95837748536
102299991064
11a80315368
12542319420
132a8671077
1417b669240
15d6dbdc79
hex89171418

2299991064 has 128 divisors (see below), whose sum is σ = 6974553600. Its totient is φ = 617011200.

The previous prime is 2299991051. The next prime is 2299991087. The reversal of 2299991064 is 4601999922.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 2299990998 and 2299991016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1767214 + ... + 1768514.

It is an arithmetic number, because the mean of its divisors is an integer number (54488700).

Almost surely, 22299991064 is an apocalyptic number.

2299991064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2299991064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3487276800).

2299991064 is an abundant number, since it is smaller than the sum of its proper divisors (4674562536).

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

2299991064 is a wasteful number, since it uses less digits than its factorization.

2299991064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1953 (or 1949 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 51.

The square root of 2299991064 is about 47958.2220687965. Note that the first 3 decimals coincide. The cubic root of 2299991064 is about 1320.0044122901.

The spelling of 2299991064 in words is "two billion, two hundred ninety-nine million, nine hundred ninety-one thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 51 56 68 84 102 119 136 168 204 238 357 408 476 619 714 952 1238 1301 1428 1857 2476 2602 2856 3714 3903 4333 4952 5204 7428 7806 8666 9107 10408 10523 12999 14856 15612 17332 18214 21046 22117 25998 27321 31224 31569 34664 36428 42092 44234 51996 54642 63138 66351 72856 73661 84184 88468 103992 109284 126276 132702 147322 154819 176936 218568 220983 252552 265404 294644 309638 441966 464457 530808 589288 619276 805319 883932 928914 1238552 1610638 1767864 1857828 2415957 3221276 3715656 4831914 5637233 6442552 9663828 11274466 13690423 16911699 19327656 22548932 27380846 33823398 41071269 45097864 54761692 67646796 82142538 95832961 109523384 135293592 164285076 191665922 287498883 328570152 383331844 574997766 766663688 1149995532 2299991064