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2306999772 = 2233721139631
BaseRepresentation
bin1000100110000010…
…0000010111011100
312221210000201202000
42021200200113130
514211042443042
61020531002300
7111112113600
oct21140402734
95853021660
102306999772
11a84272090
12544739390
132a9c5622c
1417c571500
15d780574c
hex898205dc

2306999772 has 144 divisors (see below), whose sum is σ = 7590320640. Its totient is φ = 599205600.

The previous prime is 2306999771. The next prime is 2306999813. The reversal of 2306999772 is 2779996032.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2306999771) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38397 + ... + 78027.

It is an arithmetic number, because the mean of its divisors is an integer number (52710560).

Almost surely, 22306999772 is an apocalyptic number.

2306999772 is a gapful number since it is divisible by the number (22) 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 2306999772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3795160320).

2306999772 is an abundant number, since it is smaller than the sum of its proper divisors (5283320868).

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

2306999772 is a wasteful number, since it uses less digits than its factorization.

2306999772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39669 (or 39654 counting only the distinct ones).

The product of its (nonzero) digits is 2571912, while the sum is 54.

The square root of 2306999772 is about 48031.2374606360. The cubic root of 2306999772 is about 1321.3438586599.

It can be divided in two parts, 230699 and 9772, that added together give a triangular number (240471 = T693).

The spelling of 2306999772 in words is "two billion, three hundred six million, nine hundred ninety-nine thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 33 36 42 44 49 54 63 66 77 84 98 99 108 126 132 147 154 189 196 198 231 252 294 297 308 378 396 441 462 539 588 594 693 756 882 924 1078 1188 1323 1386 1617 1764 2079 2156 2646 2772 3234 4158 4851 5292 6468 8316 9702 14553 19404 29106 39631 58212 79262 118893 158524 237786 277417 356679 435941 475572 554834 713358 832251 871882 1070037 1109668 1307823 1426716 1664502 1743764 1941919 2140074 2496753 2615646 3051587 3329004 3883838 3923469 4280148 4993506 5231292 5825757 6103174 7490259 7767676 7846938 9154761 9987012 11651514 11770407 12206348 14980518 15693876 17477271 18309522 21361109 23303028 23540814 27464283 29961036 34954542 36619044 42722218 47081628 52431813 54928566 64083327 69909084 82392849 85444436 104863626 109857132 128166654 164785698 192249981 209727252 256333308 329571396 384499962 576749943 768999924 1153499886 2306999772