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2263422042 = 23572328927
BaseRepresentation
bin1000011011101001…
…0001010001011010
312211202000202100000
42012322101101122
514113414001132
61012332553430
7110042525040
oct20672212132
95752022300
102263422042
11a61708532
12532022876
132a0c090ab
1417686a390
15d3a9887c
hex86e9145a

2263422042 has 96 divisors (see below), whose sum is σ = 6065160192. Its totient is φ = 618553584.

The previous prime is 2263422037. The next prime is 2263422043. The reversal of 2263422042 is 2402243622.

It is a happy number.

2263422042 is a `hidden beast` number, since 2 + 2 + 634 + 2 + 20 + 4 + 2 = 666.

It is a super-2 number, since 2×22634220422 = 10246158680422899528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2263421997 and 2263422015.

It is not an unprimeable number, because it can be changed into a prime (2263422043) 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, 63783 + ... + 92709.

It is an arithmetic number, because the mean of its divisors is an integer number (63178752).

Almost surely, 22263422042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2263422042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3032580096).

2263422042 is an abundant number, since it is smaller than the sum of its proper divisors (3801738150).

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

2263422042 is a wasteful number, since it uses less digits than its factorization.

2263422042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28974 (or 28962 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 2263422042 is about 47575.4352791438. The cubic root of 2263422042 is about 1312.9711405714.

Adding to 2263422042 its reverse (2402243622), we get a palindrome (4665665664).

The spelling of 2263422042 in words is "two billion, two hundred sixty-three million, four hundred twenty-two thousand, forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 23 27 42 46 54 63 69 81 126 138 161 162 189 207 243 322 378 414 483 486 567 621 966 1134 1242 1449 1701 1863 2898 3402 3726 4347 5589 8694 11178 13041 26082 28927 39123 57854 78246 86781 173562 202489 260343 404978 520686 607467 665321 781029 1214934 1330642 1562058 1822401 1995963 2343087 3644802 3991926 4657247 4686174 5467203 5987889 7029261 9314494 10934406 11975778 13971741 14058522 16401609 17963667 27943482 32803218 35927334 41915223 49204827 53891001 83830446 98409654 107782002 125745669 161673003 251491338 323346006 377237007 754474014 1131711021 2263422042