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2300823054 = 2322947191491
BaseRepresentation
bin1000100100100011…
…1100011000001110
312221100101220212200
42021020330120032
514203002314204
61020150342330
7111005446635
oct21110743016
95840356780
102300823054
11a80833462
1254265a9a6
132a88a297a
1417b80451c
15d6ed5539
hex8923c60e

2300823054 has 96 divisors (see below), whose sum is σ = 5305098240. Its totient is φ = 719476800.

The previous prime is 2300823043. The next prime is 2300823113. The reversal of 2300823054 is 4503280032.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4685749 + ... + 4686239.

It is an arithmetic number, because the mean of its divisors is an integer number (55261440).

Almost surely, 22300823054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2300823054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2652549120).

2300823054 is an abundant number, since it is smaller than the sum of its proper divisors (3004275186).

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

2300823054 is a wasteful number, since it uses less digits than its factorization.

2300823054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 2300823054 is about 47966.8953967213. The cubic root of 2300823054 is about 1320.1635575569.

The spelling of 2300823054 in words is "two billion, three hundred million, eight hundred twenty-three thousand, fifty-four".

Divisors: 1 2 3 6 9 18 29 47 58 87 94 141 174 191 261 282 382 423 491 522 573 846 982 1146 1363 1473 1719 2726 2946 3438 4089 4419 5539 8178 8838 8977 11078 12267 14239 16617 17954 23077 24534 26931 28478 33234 42717 46154 49851 53862 69231 80793 85434 93781 99702 128151 138462 161586 187562 207693 256302 260333 281343 415386 520666 562686 669233 780999 844029 1338466 1561998 1688058 2007699 2342997 2719649 4015398 4407707 4685994 5439298 6023097 8158947 8815414 12046194 13223121 16317894 24476841 26446242 39669363 48953682 79338726 127823503 255647006 383470509 766941018 1150411527 2300823054