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22223314104 = 23323297119553
BaseRepresentation
bin10100101100100111…
…001101110010111000
32010100210002022211120
4110230213031302320
5331003132022404
614113110425240
71414500024135
oct245447156270
963323068746
1022223314104
1194745328a2
124382662220
1321321b0004
14110b6b158c
158a10409d9
hex52c9cdcb8

22223314104 has 128 divisors (see below), whose sum is σ = 60820761600. Its totient is φ = 6744657920.

The previous prime is 22223314103. The next prime is 22223314123. The reversal of 22223314104 is 40141332222.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22223314103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1126792 + ... + 1146344.

It is an arithmetic number, because the mean of its divisors is an integer number (475162200).

Almost surely, 222223314104 is an apocalyptic number.

22223314104 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 22223314104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30410380800).

22223314104 is an abundant number, since it is smaller than the sum of its proper divisors (38597447496).

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

22223314104 is a wasteful number, since it uses less digits than its factorization.

22223314104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19685 (or 19681 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 22223314104 its reverse (40141332222), we get a palindrome (62364646326).

The spelling of 22223314104 in words is "twenty-two billion, two hundred twenty-three million, three hundred fourteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 23 24 29 46 58 69 71 87 92 116 138 142 174 184 213 232 276 284 348 426 552 568 667 696 852 1334 1633 1704 2001 2059 2668 3266 4002 4118 4899 5336 6177 6532 8004 8236 9798 12354 13064 16008 16472 19553 19596 24708 39106 39192 47357 49416 58659 78212 94714 117318 142071 156424 189428 234636 284142 378856 449719 469272 567037 568284 899438 1134074 1136568 1349157 1388263 1701111 1798876 2268148 2698314 2776526 3402222 3597752 4164789 4536296 5396628 5553052 6804444 8329578 10793256 11106104 13041851 13608888 16659156 26083702 31930049 33318312 39125553 40259627 52167404 63860098 78251106 80519254 95790147 104334808 120778881 127720196 156502212 161038508 191580294 241557762 255440392 313004424 322077016 383160588 483115524 766321176 925971421 966231048 1851942842 2777914263 3703885684 5555828526 7407771368 11111657052 22223314104