Search a number
-
+
2055693220 = 2257191375641
BaseRepresentation
bin111101010000111…
…0110001110100100
312022021011000221221
41322201312032210
513202224140340
6535552350124
7101641050460
oct17241661644
95267130857
102055693220
11965426819
12494545344
13269b76c29
141570354a0
15c071444a
hex7a8763a4

2055693220 has 96 divisors (see below), whose sum is σ = 5232165120. Its totient is φ = 662722560.

The previous prime is 2055693203. The next prime is 2055693221. The reversal of 2055693220 is 223965502.

It is a happy number.

It is a super-2 number, since 2×20556932202 = 8451749229507936800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2055693221) 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, 361600 + ... + 367240.

It is an arithmetic number, because the mean of its divisors is an integer number (54501720).

Almost surely, 22055693220 is an apocalyptic number.

2055693220 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 2055693220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2616082560).

2055693220 is an abundant number, since it is smaller than the sum of its proper divisors (3176471900).

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

2055693220 is a wasteful number, since it uses less digits than its factorization.

2055693220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5813 (or 5811 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 34.

The square root of 2055693220 is about 45339.7531973874. The cubic root of 2055693220 is about 1271.5089881624.

The spelling of 2055693220 in words is "two billion, fifty-five million, six hundred ninety-three thousand, two hundred twenty".

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 5641 9590 10412 11282 13015 18221 19180 22564 26030 28205 36442 39487 52060 56410 72884 78974 91105 107179 112820 157948 182210 197435 214358 364420 394870 428716 535895 750253 772817 789740 1071790 1500506 1545634 2143580 3001012 3091268 3751265 3864085 5409719 7502530 7728170 10819438 14683523 15005060 15456340 21638876 27048595 29367046 54097190 58734092 73417615 102784661 108194380 146835230 205569322 293670460 411138644 513923305 1027846610 2055693220