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2220300100 = 2252192574547
BaseRepresentation
bin1000010001010111…
…0001011101000100
312201201212221011001
42010111301131010
514021344100400
61004152423044
7106010145064
oct20425613504
95651787131
102220300100
11a3a335367
1251b6a7a84
13294cbb555
14170c433a4
15cedcba6a
hex84571744

2220300100 has 72 divisors (see below), whose sum is σ = 5092486560. Its totient is φ = 837918720.

The previous prime is 2220300097. The next prime is 2220300151. The reversal of 2220300100 is 10030222.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 486027 + ... + 490573.

It is an arithmetic number, because the mean of its divisors is an integer number (70728980).

Almost surely, 22220300100 is an apocalyptic number.

2220300100 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 2220300100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2546243280).

2220300100 is an abundant number, since it is smaller than the sum of its proper divisors (2872186460).

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

2220300100 is a wasteful number, since it uses less digits than its factorization.

2220300100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4837 (or 4830 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 2220300100 is about 47120.0604838321. The cubic root of 2220300100 is about 1304.5795291553.

Adding to 2220300100 its reverse (10030222), we get a palindrome (2230330322).

The spelling of 2220300100 in words is "two billion, two hundred twenty million, three hundred thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 257 380 475 514 950 1028 1285 1900 2570 4547 4883 5140 6425 9094 9766 12850 18188 19532 22735 24415 25700 45470 48830 86393 90940 97660 113675 122075 172786 227350 244150 345572 431965 454700 488300 863930 1168579 1727860 2159825 2337158 4319650 4674316 5842895 8639300 11685790 22203001 23371580 29214475 44406002 58428950 88812004 111015005 116857900 222030010 444060020 555075025 1110150050 2220300100