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2145731220 = 2232579714957
BaseRepresentation
bin111111111100101…
…0100001010010100
312112112120102212200
41333321110022110
513343301344340
6552530244500
7104113262103
oct17771241224
95475512780
102145731220
11a01233696
124ba726730
13282710259
14164d9203a
15c859c330
hex7fe54294

2145731220 has 72 divisors (see below), whose sum is σ = 6517320264. Its totient is φ = 571438848.

The previous prime is 2145731219. The next prime is 2145731221. The reversal of 2145731220 is 221375412.

It is an interprime number because it is at equal distance from previous prime (2145731219) and next prime (2145731221).

It can be written as a sum of positive squares in 4 ways, for example, as 72386064 + 2073345156 = 8508^2 + 45534^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2145731221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135982 + ... + 150938.

It is an arithmetic number, because the mean of its divisors is an integer number (90518337).

Almost surely, 22145731220 is an apocalyptic number.

2145731220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2145731220 is an abundant number, since it is smaller than the sum of its proper divisors (4371589044).

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

2145731220 is a wasteful number, since it uses less digits than its factorization.

2145731220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15769 (or 15764 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 2145731220 is about 46322.0381675936. The cubic root of 2145731220 is about 1289.8081200091.

The spelling of 2145731220 in words is "two billion, one hundred forty-five million, seven hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 797 1594 2391 3188 3985 4782 7173 7970 9564 11955 14346 14957 15940 23910 28692 29914 35865 44871 47820 59828 71730 74785 89742 134613 143460 149570 179484 224355 269226 299140 448710 538452 673065 897420 1346130 2692260 11920729 23841458 35762187 47682916 59603645 71524374 107286561 119207290 143048748 178810935 214573122 238414580 357621870 429146244 536432805 715243740 1072865610 2145731220