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2202142104 = 2332196172609
BaseRepresentation
bin1000001101000010…
…0000010110011000
312200110201102001200
42003100200112120
514002222021404
61002303314200
7105366620241
oct20320402630
95613642050
102202142104
11a30062a58
125155ab960
13291301686
1416c677cc8
15cd4e1839
hex83420598

2202142104 has 96 divisors (see below), whose sum is σ = 6290622000. Its totient is φ = 694020096.

The previous prime is 2202142067. The next prime is 2202142147. The reversal of 2202142104 is 4012412022.

2202142104 is a `hidden beast` number, since 220 + 21 + 421 + 0 + 4 = 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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 842752 + ... + 845360.

Almost surely, 22202142104 is an apocalyptic number.

2202142104 is a gapful number since it is divisible by the number (24) 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 2202142104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3145311000).

2202142104 is an abundant number, since it is smaller than the sum of its proper divisors (4088479896).

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

2202142104 is a wasteful number, since it uses less digits than its factorization.

2202142104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3257 (or 3250 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2202142104 is about 46926.9869478107. The cubic root of 2202142104 is about 1301.0134314576.

Adding to 2202142104 its reverse (4012412022), we get a palindrome (6214554126).

The spelling of 2202142104 in words is "two billion, two hundred two million, one hundred forty-two thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 456 617 684 1234 1368 1851 2468 2609 3702 4936 5218 5553 7404 7827 10436 11106 11723 14808 15654 20872 22212 23446 23481 31308 35169 44424 46892 46962 49571 62616 70338 93784 93924 99142 105507 140676 148713 187848 198284 211014 281352 297426 396568 422028 446139 594852 844056 892278 1189704 1609753 1784556 3219506 3569112 4829259 6439012 9658518 12878024 14487777 19317036 28975554 30585307 38634072 57951108 61170614 91755921 115902216 122341228 183511842 244682456 275267763 367023684 550535526 734047368 1101071052 2202142104