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2220102342 = 2323716719961
BaseRepresentation
bin1000010001010100…
…0001001011000110
312201201111212212200
42010111001023012
514021321233332
61004144255330
7106005362403
oct20425011306
95651455780
102220102342
11a3a20a827
1251b611546
13294c4c533
14170bd12aa
15ced8d17c
hex845412c6

2220102342 has 48 divisors (see below), whose sum is σ = 4970058912. Its totient is φ = 715685760.

The previous prime is 2220102277. The next prime is 2220102371. The reversal of 2220102342 is 2432010222.

2220102342 is a `hidden beast` number, since 2 + 220 + 102 + 342 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101242 + ... + 121202.

It is an arithmetic number, because the mean of its divisors is an integer number (103542894).

Almost surely, 22220102342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2220102342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2485029456).

2220102342 is an abundant number, since it is smaller than the sum of its proper divisors (2749956570).

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

2220102342 is a wasteful number, since it uses less digits than its factorization.

2220102342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20173 (or 20170 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2220102342 is about 47117.9619890334. The cubic root of 2220102342 is about 1304.5407958479.

Adding to 2220102342 its reverse (2432010222), we get a palindrome (4652112564).

The spelling of 2220102342 in words is "two billion, two hundred twenty million, one hundred two thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 37 74 111 167 222 333 334 501 666 1002 1503 3006 6179 12358 18537 19961 37074 39922 55611 59883 111222 119766 179649 359298 738557 1477114 2215671 3333487 4431342 6647013 6666974 10000461 13294026 20000922 30001383 60002766 123339019 246678038 370017057 740034114 1110051171 2220102342