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2259040740 = 22351110133889
BaseRepresentation
bin1000011010100110…
…0011100111100100
312211102210011022120
42012221203213210
514111303300430
61012055025540
7106660346415
oct20651434744
95742704276
102259040740
11a5a195820
1253066b2b0
132a0033ac8
1417604980c
15d34d0610
hex86a639e4

2259040740 has 96 divisors (see below), whose sum is σ = 6968868480. Its totient is φ = 542208000.

The previous prime is 2259040727. The next prime is 2259040741. The reversal of 2259040740 is 470409522.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (2259040741) 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, 49716 + ... + 83604.

It is an arithmetic number, because the mean of its divisors is an integer number (72592380).

Almost surely, 22259040740 is an apocalyptic number.

2259040740 is a gapful number since it is divisible by the number (20) 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 2259040740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3484434240).

2259040740 is an abundant number, since it is smaller than the sum of its proper divisors (4709827740).

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

2259040740 is a wasteful number, since it uses less digits than its factorization.

2259040740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34013 (or 34011 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 2259040740 is about 47529.3671323320. The cubic root of 2259040740 is about 1312.1234213966.

The spelling of 2259040740 in words is "two billion, two hundred fifty-nine million, forty thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 101 110 132 165 202 220 303 330 404 505 606 660 1010 1111 1212 1515 2020 2222 3030 3333 4444 5555 6060 6666 11110 13332 16665 22220 33330 33889 66660 67778 101667 135556 169445 203334 338890 372779 406668 508335 677780 745558 1016670 1118337 1491116 1863895 2033340 2236674 3422789 3727790 4473348 5591685 6845578 7455580 10268367 11183370 13691156 17113945 20536734 22366740 34227890 37650679 41073468 51341835 68455780 75301358 102683670 112952037 150602716 188253395 205367340 225904074 376506790 451808148 564760185 753013580 1129520370 2259040740