Search a number
-
+
2828801100 = 2235273129169
BaseRepresentation
bin1010100010011100…
…0001010001001100
321022010212222121010
42220213001101030
521243133113400
61144411005220
7130046261346
oct25047012114
97263788533
102828801100
11122186a154
1266b439810
133610a2608
141cb9a0296
15118528450
hexa89c144c

2828801100 has 72 divisors (see below), whose sum is σ = 8296847440. Its totient is φ = 744007680.

The previous prime is 2828801089. The next prime is 2828801113. The reversal of 2828801100 is 11088282.

It is a super-2 number, since 2×28288011002 = 16004231326722420000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 42685 + ... + 86484.

Almost surely, 22828801100 is an apocalyptic number.

2828801100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2828801100 is an abundant number, since it is smaller than the sum of its proper divisors (5468046340).

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

2828801100 is a wasteful number, since it uses less digits than its factorization.

2828801100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129259 (or 129252 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 30.

The square root of 2828801100 is about 53186.4747844788. The cubic root of 2828801100 is about 1414.2758888352.

Adding to 2828801100 its reverse (11088282), we get a palindrome (2839889382).

The spelling of 2828801100 in words is "two billion, eight hundred twenty-eight million, eight hundred one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 73 75 100 146 150 219 292 300 365 438 730 876 1095 1460 1825 2190 3650 4380 5475 7300 10950 21900 129169 258338 387507 516676 645845 775014 1291690 1550028 1937535 2583380 3229225 3875070 6458450 7750140 9429337 9687675 12916900 18858674 19375350 28288011 37717348 38750700 47146685 56576022 94293370 113152044 141440055 188586740 235733425 282880110 471466850 565760220 707200275 942933700 1414400550 2828801100