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2273918820 = 2235311222537
BaseRepresentation
bin1000011110001001…
…0011111101100100
312212110210001012120
42013202103331210
514124110400240
61013345545540
7110230663635
oct20742237544
95773701176
102273918820
11a67627958
125356452b0
132a3142ac4
14177ddd88c
15d496dad0
hex87893f64

2273918820 has 48 divisors (see below), whose sum is σ = 6572364288. Its totient is φ = 586817280.

The previous prime is 2273918809. The next prime is 2273918821. The reversal of 2273918820 is 288193722.

It is a happy number.

2273918820 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2273918821) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 609409 + ... + 613128.

It is an arithmetic number, because the mean of its divisors is an integer number (136924256).

Almost surely, 22273918820 is an apocalyptic number.

2273918820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2273918820 is an abundant number, since it is smaller than the sum of its proper divisors (4298445468).

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

2273918820 is a wasteful number, since it uses less digits than its factorization.

2273918820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1222580 (or 1222578 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 2273918820 is about 47685.6248779441. The cubic root of 2273918820 is about 1314.9976762189.

The spelling of 2273918820 in words is "two billion, two hundred seventy-three million, nine hundred eighteen thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 620 930 1860 1222537 2445074 3667611 4890148 6112685 7335222 12225370 14670444 18338055 24450740 36676110 37898647 73352220 75797294 113695941 151594588 189493235 227391882 378986470 454783764 568479705 757972940 1136959410 2273918820