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2241123020 = 225435349169
BaseRepresentation
bin1000010110010100…
…1101001011001100
312210012001211211022
42011211031023030
514042211414040
61010215013312
7106352142233
oct20545151314
95705054738
102241123020
11a50067994
1252666a238
132993cc3c6
14173903b1a
15d1b416b5
hex8594d2cc

2241123020 has 48 divisors (see below), whose sum is σ = 4906772640. Its totient is φ = 859063296.

The previous prime is 2241123019. The next prime is 2241123127. The reversal of 2241123020 is 203211422.

It is a self number, because there is not a number n which added to its sum of digits gives 2241123020.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20996 + ... + 70164.

It is an arithmetic number, because the mean of its divisors is an integer number (102224430).

Almost surely, 22241123020 is an apocalyptic number.

2241123020 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 2241123020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2453386320).

2241123020 is an abundant number, since it is smaller than the sum of its proper divisors (2665649620).

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

2241123020 is a wasteful number, since it uses less digits than its factorization.

2241123020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49274 (or 49272 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 2241123020 is about 47340.5008423020. The cubic root of 2241123020 is about 1308.6451466446.

Adding to 2241123020 its reverse (203211422), we get a palindrome (2444334442).

The spelling of 2241123020 in words is "two billion, two hundred forty-one million, one hundred twenty-three thousand, twenty".

Divisors: 1 2 4 5 10 20 43 53 86 106 172 212 215 265 430 530 860 1060 2279 4558 9116 11395 22790 45580 49169 98338 196676 245845 491690 983380 2114267 2605957 4228534 5211914 8457068 10423828 10571335 13029785 21142670 26059570 42285340 52119140 112056151 224112302 448224604 560280755 1120561510 2241123020