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2302041140 = 2257191376317
BaseRepresentation
bin1000100100110110…
…0101110000110100
312221102200210202222
42021031211300310
514203310304030
61020232421512
7111022012130
oct21115456064
95842623688
102302041140
11a81495643
12542b47898
132a8c0b229
1417ba403c0
15d71763e5
hex89365c34

2302041140 has 96 divisors (see below), whose sum is σ = 5859060480. Its totient is φ = 742155264.

The previous prime is 2302041113. The next prime is 2302041149. The reversal of 2302041140 is 411402032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2302041149) 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, 361262 + ... + 367578.

It is an arithmetic number, because the mean of its divisors is an integer number (61031880).

Almost surely, 22302041140 is an apocalyptic number.

2302041140 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 2302041140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2929530240).

2302041140 is an abundant number, since it is smaller than the sum of its proper divisors (3557019340).

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

2302041140 is a wasteful number, since it uses less digits than its factorization.

2302041140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6489 (or 6487 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 2302041140 is about 47979.5908694520. The cubic root of 2302041140 is about 1320.3964871093.

Adding to 2302041140 its reverse (411402032), we get a palindrome (2713443172).

The spelling of 2302041140 in words is "two billion, three hundred two million, forty-one thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 133 137 140 190 266 274 380 532 548 665 685 959 1330 1370 1918 2603 2660 2740 3836 4795 5206 6317 9590 10412 12634 13015 18221 19180 25268 26030 31585 36442 44219 52060 63170 72884 88438 91105 120023 126340 176876 182210 221095 240046 364420 442190 480092 600115 840161 865429 884380 1200230 1680322 1730858 2400460 3360644 3461716 4200805 4327145 6058003 8401610 8654290 12116006 16443151 16803220 17308580 24232012 30290015 32886302 60580030 65772604 82215755 115102057 121160060 164431510 230204114 328863020 460408228 575510285 1151020570 2302041140