Search a number
-
+
2231002020 = 2235132860259
BaseRepresentation
bin1000010011111010…
…0110001110100100
312202111000122102110
42010332212032210
514032114031040
61005214041020
7106200130032
oct20476461644
95674018373
102231002020
11a45384925
125231a9170
13297297750
1417242b552
15d0ce2980
hex84fa63a4

2231002020 has 48 divisors (see below), whose sum is σ = 6727331520. Its totient is φ = 549169536.

The previous prime is 2231002019. The next prime is 2231002051. The reversal of 2231002020 is 202001322.

It is a super-3 number, since 3×22310020203 (a number of 29 digits) contains 333 as substring.

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 = 2231001987 and 2231002005.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1429350 + ... + 1430909.

It is an arithmetic number, because the mean of its divisors is an integer number (140152740).

Almost surely, 22231002020 is an apocalyptic number.

2231002020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2231002020 is an abundant number, since it is smaller than the sum of its proper divisors (4496329500).

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

2231002020 is a wasteful number, since it uses less digits than its factorization.

2231002020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2860284 (or 2860282 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2231002020 is about 47233.4840976187. The cubic root of 2231002020 is about 1306.6722093279.

Adding to 2231002020 its reverse (202001322), we get a palindrome (2433003342).

The spelling of 2231002020 in words is "two billion, two hundred thirty-one million, two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 2860259 5720518 8580777 11441036 14301295 17161554 28602590 34323108 37183367 42903885 57205180 74366734 85807770 111550101 148733468 171615540 185916835 223100202 371833670 446200404 557750505 743667340 1115501010 2231002020