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2234241020 = 2251121148131
BaseRepresentation
bin1000010100101011…
…1100111111111100
312202201010012111102
42011022330333330
514033431203040
61005411312232
7106236510134
oct20512747774
95681105442
102234241020
11a47197390
125242ab678
13297b5cb0b
14172a31ac4
15d1232515
hex852bcffc

2234241020 has 48 divisors (see below), whose sum is σ = 5142807936. Its totient is φ = 808584000.

The previous prime is 2234241011. The next prime is 2234241049. The reversal of 2234241020 is 201424322.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2234240983 and 2234241001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22355 + ... + 70485.

It is an arithmetic number, because the mean of its divisors is an integer number (107141832).

Almost surely, 22234241020 is an apocalyptic number.

2234241020 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 2234241020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2571403968).

2234241020 is an abundant number, since it is smaller than the sum of its proper divisors (2908566916).

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

2234241020 is a wasteful number, since it uses less digits than its factorization.

2234241020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48362 (or 48360 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2234241020 is about 47267.7587791086. The cubic root of 2234241020 is about 1307.3042518993.

Adding to 2234241020 its reverse (201424322), we get a palindrome (2435665342).

The spelling of 2234241020 in words is "two billion, two hundred thirty-four million, two hundred forty-one thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 211 220 422 844 1055 2110 2321 4220 4642 9284 11605 23210 46420 48131 96262 192524 240655 481310 529441 962620 1058882 2117764 2647205 5294410 10155641 10588820 20311282 40622564 50778205 101556410 111712051 203112820 223424102 446848204 558560255 1117120510 2234241020