Search a number
-
+
2030022320 = 245192358067
BaseRepresentation
bin111100011111111…
…1010111010110000
312020110211211002212
41320333322322300
513124141203240
6533234231252
7101206622264
oct17077727260
95213754085
102030022320
119519928a7
12487a25528
13264759551
141538720a4
15bd343165
hex78ffaeb0

2030022320 has 80 divisors (see below), whose sum is σ = 5184311040. Its totient is φ = 735812352.

The previous prime is 2030022317. The next prime is 2030022329. The reversal of 2030022320 is 232200302.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 2030022295 and 2030022304.

It is not an unprimeable number, because it can be changed into a prime (2030022329) 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, 5927 + ... + 63993.

It is an arithmetic number, because the mean of its divisors is an integer number (64803888).

Almost surely, 22030022320 is an apocalyptic number.

2030022320 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 2030022320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2592155520).

2030022320 is an abundant number, since it is smaller than the sum of its proper divisors (3154288720).

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

2030022320 is a wasteful number, since it uses less digits than its factorization.

2030022320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58122 (or 58116 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 2030022320 is about 45055.7689979874. The cubic root of 2030022320 is about 1266.1940576037.

Adding to 2030022320 its reverse (232200302), we get a palindrome (2262222622).

The spelling of 2030022320 in words is "two billion, thirty million, twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 23 38 40 46 76 80 92 95 115 152 184 190 230 304 368 380 437 460 760 874 920 1520 1748 1840 2185 3496 4370 6992 8740 17480 34960 58067 116134 232268 290335 464536 580670 929072 1103273 1161340 1335541 2206546 2322680 2671082 4413092 4645360 5342164 5516365 6677705 8826184 10684328 11032730 13355410 17652368 21368656 22065460 25375279 26710820 44130920 50750558 53421640 88261840 101501116 106843280 126876395 203002232 253752790 406004464 507505580 1015011160 2030022320