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2030003220 = 2235712793779
BaseRepresentation
bin111100011111111…
…0110010000010100
312020110210211220110
41320333312100110
513124140100340
6533234003020
7101206512510
oct17077662024
95213724813
102030003220
1195197a513
12487a16470
1326475094b
14153869140
15bd33c680
hex78ff6414

2030003220 has 96 divisors (see below), whose sum is σ = 6502809600. Its totient is φ = 463515264.

The previous prime is 2030003189. The next prime is 2030003221. The reversal of 2030003220 is 223000302.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2030003196 and 2030003205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2030003221) 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 31 ways as a sum of consecutive naturals, for example, 535291 + ... + 539069.

It is an arithmetic number, because the mean of its divisors is an integer number (67737600).

Almost surely, 22030003220 is an apocalyptic number.

2030003220 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 2030003220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3251404800).

2030003220 is an abundant number, since it is smaller than the sum of its proper divisors (4472806380).

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

2030003220 is a wasteful number, since it uses less digits than its factorization.

2030003220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5077 (or 5075 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 2030003220 is about 45055.5570379504. The cubic root of 2030003220 is about 1266.1900864845.

Adding to 2030003220 its reverse (223000302), we get a palindrome (2253003522).

The spelling of 2030003220 in words is "two billion, thirty million, three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 1279 2558 3779 3837 5116 6395 7558 7674 8953 11337 12790 15116 15348 17906 18895 19185 22674 25580 26453 26859 35812 37790 38370 44765 45348 52906 53718 56685 75580 76740 79359 89530 105812 107436 113370 132265 134295 158718 179060 226740 264530 268590 317436 396795 529060 537180 793590 1587180 4833341 9666682 14500023 19333364 24166705 29000046 33833387 48333410 58000092 67666774 72500115 96666820 101500161 135333548 145000230 169166935 203000322 290000460 338333870 406000644 507500805 676667740 1015001610 2030003220