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2289464430 = 23511103193349
BaseRepresentation
bin1000100001110110…
…0111010001101110
312220120000211202220
42020131213101232
514142100330210
61015103100210
7110510061261
oct21035472156
95816024686
102289464430
11a75385570
1253a8a1666
132a64268a6
1417a0c8cd8
15d5edec70
hex8876746e

2289464430 has 128 divisors (see below), whose sum is σ = 6101222400. Its totient is φ = 545218560.

The previous prime is 2289464399. The next prime is 2289464453. The reversal of 2289464430 is 344649822.

2289464430 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6559896 + ... + 6560244.

It is an arithmetic number, because the mean of its divisors is an integer number (47665800).

Almost surely, 22289464430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2289464430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3050611200).

2289464430 is an abundant number, since it is smaller than the sum of its proper divisors (3811757970).

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

2289464430 is a wasteful number, since it uses less digits than its factorization.

2289464430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666.

The product of its (nonzero) digits is 331776, while the sum is 42.

The square root of 2289464430 is about 47848.3482473533. The cubic root of 2289464430 is about 1317.9875267751.

The spelling of 2289464430 in words is "two billion, two hundred eighty-nine million, four hundred sixty-four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 103 110 165 193 206 309 330 349 386 515 579 618 698 965 1030 1047 1133 1158 1545 1745 1930 2094 2123 2266 2895 3090 3399 3490 3839 4246 5235 5665 5790 6369 6798 7678 10470 10615 11330 11517 12738 16995 19195 19879 21230 23034 31845 33990 35947 38390 39758 57585 59637 63690 67357 71894 99395 107841 115170 119274 134714 179735 198790 202071 215682 218669 298185 336785 359470 395417 404142 437338 539205 596370 656007 673570 740927 790834 1010355 1078410 1093345 1186251 1312014 1481854 1977085 2020710 2186690 2222781 2372502 3280035 3704635 3954170 4445562 5931255 6560070 6937771 7409270 11113905 11862510 13875542 20813313 22227810 34688855 41626626 69377710 76315481 104066565 152630962 208133130 228946443 381577405 457892886 763154810 1144732215 2289464430