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2302045140 = 2235177333079
BaseRepresentation
bin1000100100110110…
…0110101111010100
312221102201000021010
42021031212233110
514203310421030
61020232452220
7111022026603
oct21115465724
95842630233
102302045140
11a8149864a
12542b4a070
132a8c0ccb5
1417ba41a3a
15d71776b0
hex89366bd4

2302045140 has 96 divisors (see below), whose sum is σ = 6836417280. Its totient is φ = 576792576.

The previous prime is 2302045139. The next prime is 2302045147. The reversal of 2302045140 is 415402032.

2302045140 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 not an unprimeable number, because it can be changed into a prime (2302045147) 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, 746121 + ... + 749199.

It is an arithmetic number, because the mean of its divisors is an integer number (71212680).

Almost surely, 22302045140 is an apocalyptic number.

2302045140 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 2302045140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3418208640).

2302045140 is an abundant number, since it is smaller than the sum of its proper divisors (4534372140).

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

2302045140 is a wasteful number, since it uses less digits than its factorization.

2302045140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3841 (or 3839 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 2302045140 is about 47979.6325538243. The cubic root of 2302045140 is about 1320.3972518774.

Adding to 2302045140 its reverse (415402032), we get a palindrome (2717447172).

The spelling of 2302045140 in words is "two billion, three hundred two million, forty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 733 1020 1466 2199 2932 3079 3665 4398 6158 7330 8796 9237 10995 12316 12461 14660 15395 18474 21990 24922 30790 36948 37383 43980 46185 49844 52343 61580 62305 74766 92370 104686 124610 149532 157029 184740 186915 209372 249220 261715 314058 373830 523430 628116 747660 785145 1046860 1570290 2256907 3140580 4513814 6770721 9027628 11284535 13541442 22569070 27082884 33853605 38367419 45138140 67707210 76734838 115102257 135414420 153469676 191837095 230204514 383674190 460409028 575511285 767348380 1151022570 2302045140