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5504422100 = 22522311321179
BaseRepresentation
bin1010010000001011…
…01101000011010100
3112012121112121121012
411020011231003110
542233113001400
62310110511352
7253255546562
oct51005550324
915177477535
105504422100
112375114881
121097505558
136995016c8
143a3088a32
15223394d35
hex14816d0d4

5504422100 has 72 divisors (see below), whose sum is σ = 12574820160. Its totient is φ = 2087303680.

The previous prime is 5504422097. The next prime is 5504422103. The reversal of 5504422100 is 12244055.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5504422097) and next prime (5504422103).

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5504422103) by changing a digit.

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, 249311 + ... + 270489.

It is an arithmetic number, because the mean of its divisors is an integer number (174650280).

Almost surely, 25504422100 is an apocalyptic number.

5504422100 is a gapful number since it is divisible by the number (50) 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 5504422100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6287410080).

5504422100 is an abundant number, since it is smaller than the sum of its proper divisors (7070398060).

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

5504422100 is a wasteful number, since it uses less digits than its factorization.

5504422100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21329 (or 21322 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 23.

The square root of 5504422100 is about 74191.7926727748. The cubic root of 5504422100 is about 1765.6471183070.

Adding to 5504422100 its reverse (12244055), we get a palindrome (5516666155).

The spelling of 5504422100 in words is "five billion, five hundred four million, four hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 113 115 226 230 452 460 565 575 1130 1150 2260 2300 2599 2825 5198 5650 10396 11300 12995 21179 25990 42358 51980 64975 84716 105895 129950 211790 259900 423580 487117 529475 974234 1058950 1948468 2117900 2393227 2435585 4786454 4871170 9572908 9742340 11966135 12177925 23932270 24355850 47864540 48711700 55044221 59830675 110088442 119661350 220176884 239322700 275221105 550442210 1100884420 1376105525 2752211050 5504422100