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2220552342 = 2321723535953
BaseRepresentation
bin1000010001011010…
…1111000010010110
312201202100202011100
42010112233002112
514021430133332
61004202050530
7106012245351
oct20426570226
95652322140
102220552342
11a3a497928
1251b7a9a46
132950792c8
14170cab298
15cee2b67c
hex845af096

2220552342 has 96 divisors (see below), whose sum is σ = 5416901568. Its totient is φ = 653672448.

The previous prime is 2220552329. The next prime is 2220552343. The reversal of 2220552342 is 2432550222.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2220552343) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 370038 + ... + 375990.

It is an arithmetic number, because the mean of its divisors is an integer number (56426058).

Almost surely, 22220552342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2220552342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2708450784).

2220552342 is an abundant number, since it is smaller than the sum of its proper divisors (3196349226).

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

2220552342 is a wasteful number, since it uses less digits than its factorization.

2220552342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6054 (or 6051 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 2220552342 is about 47122.7369960617. The cubic root of 2220552342 is about 1304.6289304785.

It can be divided in two parts, 22205 and 52342, that added together give a palindrome (74547).

The spelling of 2220552342 in words is "two billion, two hundred twenty million, five hundred fifty-two thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 17 18 23 34 46 51 53 69 102 106 138 153 159 207 306 318 391 414 477 782 901 954 1173 1219 1802 2346 2438 2703 3519 3657 5406 5953 7038 7314 8109 10971 11906 16218 17859 20723 21942 35718 41446 53577 62169 101201 107154 124338 136919 186507 202402 273838 303603 315509 373014 410757 607206 631018 821514 910809 946527 1232271 1821618 1893054 2327623 2464542 2839581 4655246 5363653 5679162 6982869 7256707 10727306 13965738 14513414 16090959 20948607 21770121 32181918 41897214 43540242 48272877 65310363 96545754 123364019 130620726 246728038 370092057 740184114 1110276171 2220552342