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2100428022 = 237211649483
BaseRepresentation
bin111110100110001…
…1111110011110110
312102101022210120110
41331030133303312
513300202144042
6544231243450
7103023225600
oct17514376366
95371283513
102100428022
11988700730
124a7519586
1327620a924
1415cd5c170
15c45ee09c
hex7d31fcf6

2100428022 has 48 divisors (see below), whose sum is σ = 5330964672. Its totient is φ = 545564880.

The previous prime is 2100428021. The next prime is 2100428039. The reversal of 2100428022 is 2208240012.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 2100428022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100428021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 321508 + ... + 327975.

It is an arithmetic number, because the mean of its divisors is an integer number (111061764).

Almost surely, 22100428022 is an apocalyptic number.

2100428022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2100428022 is an abundant number, since it is smaller than the sum of its proper divisors (3230536650).

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

2100428022 is a wasteful number, since it uses less digits than its factorization.

2100428022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649513 (or 649506 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 2100428022 is about 45830.4268145083. The cubic root of 2100428022 is about 1280.6661616257. Note that the first 3 decimals are identical.

Adding to 2100428022 its reverse (2208240012), we get a palindrome (4308668034).

The spelling of 2100428022 in words is "two billion, one hundred million, four hundred twenty-eight thousand, twenty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 49 66 77 98 147 154 231 294 462 539 1078 1617 3234 649483 1298966 1948449 3896898 4546381 7144313 9092762 13639143 14288626 21432939 27278286 31824667 42865878 50010191 63649334 95474001 100020382 150030573 190948002 300061146 350071337 700142674 1050214011 2100428022