Search a number
-
+
2022113100 = 223527962911
BaseRepresentation
bin111100010000110…
…1111111101001100
312012220221222200210
41320201233331030
513120130104400
6532352522420
7101052451320
oct17041577514
95186858623
102022113100
11948480557
12485250410
13262c1a537
141527b3980
15bc7ce950
hex7886ff4c

2022113100 has 72 divisors (see below), whose sum is σ = 6686460928. Its totient is φ = 462196800.

The previous prime is 2022113089. The next prime is 2022113113. The reversal of 2022113100 is 13112202.

It is a super-2 number, since 2×20221131002 = 8177882778383220000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 479356 + ... + 483555.

Almost surely, 22022113100 is an apocalyptic number.

2022113100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2022113100 is an abundant number, since it is smaller than the sum of its proper divisors (4664347828).

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

2022113100 is a wasteful number, since it uses less digits than its factorization.

2022113100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 962935 (or 962928 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 2022113100 is about 44967.9118928153. The cubic root of 2022113100 is about 1264.5475007255.

Adding to 2022113100 its reverse (13112202), we get a palindrome (2035225302).

The spelling of 2022113100 in words is "two billion, twenty-two million, one hundred thirteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 962911 1925822 2888733 3851644 4814555 5777466 6740377 9629110 11554932 13480754 14443665 19258220 20221131 24072775 26961508 28887330 33701885 40442262 48145550 57774660 67403770 72218325 80884524 96291100 101105655 134807540 144436650 168509425 202211310 288873300 337018850 404422620 505528275 674037700 1011056550 2022113100