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2221354542 = 231126194943
BaseRepresentation
bin1000010001100111…
…0010111000101110
312201210212111120110
42010121302320232
514022131321132
61004231200450
7106022126211
oct20431627056
95653774513
102221354542
11a3a995600
1251bb16126
1329529a494
14171039778
15d00391cc
hex84672e2e

2221354542 has 48 divisors (see below), whose sum is σ = 4892186880. Its totient is φ = 671914320.

The previous prime is 2221354523. The next prime is 2221354549. The reversal of 2221354542 is 2454531222.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2221354549) 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, 446923 + ... + 451865.

It is an arithmetic number, because the mean of its divisors is an integer number (101920560).

Almost surely, 22221354542 is an apocalyptic number.

2221354542 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2221354542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2446093440).

2221354542 is an abundant number, since it is smaller than the sum of its proper divisors (2670832338).

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

2221354542 is a wasteful number, since it uses less digits than its factorization.

2221354542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5589 (or 5578 counting only the distinct ones).

The product of its digits is 19200, while the sum is 30.

The square root of 2221354542 is about 47131.2480420368. The cubic root of 2221354542 is about 1304.7860156182.

Adding to 2221354542 its reverse (2454531222), we get a palindrome (4675885764).

The spelling of 2221354542 in words is "two billion, two hundred twenty-one million, three hundred fifty-four thousand, five hundred forty-two".

Divisors: 1 2 3 6 11 22 33 66 121 242 363 619 726 1238 1857 3714 4943 6809 9886 13618 14829 20427 29658 40854 54373 74899 108746 149798 163119 224697 326238 449394 598103 1196206 1794309 3059717 3588618 6119434 9179151 18358302 33656887 67313774 100970661 201941322 370225757 740451514 1110677271 2221354542