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22314314022 = 23711133799803
BaseRepresentation
bin10100110010000010…
…010110100100100110
32010121010022121020220
4110302002112210212
5331144431022042
614130121105210
71416653353050
oct246202264446
963533277226
1022314314022
119510937440
1243a9028206
132147cc2110
1411197dc8d0
158a90188ec
hex532096926

22314314022 has 128 divisors (see below), whose sum is σ = 60085186560. Its totient is φ = 5335424640.

The previous prime is 22314314003. The next prime is 22314314069. The reversal of 22314314022 is 22041341322.

It is a happy number.

It is a super-3 number, since 3×223143140223 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 22314313983 and 22314314001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2271373 + ... + 2281175.

It is an arithmetic number, because the mean of its divisors is an integer number (469415520).

Almost surely, 222314314022 is an apocalyptic number.

22314314022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 22314314022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30042593280).

22314314022 is an abundant number, since it is smaller than the sum of its proper divisors (37770872538).

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

22314314022 is a wasteful number, since it uses less digits than its factorization.

22314314022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10218.

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

Adding to 22314314022 its reverse (22041341322), we get a palindrome (44355655344).

The spelling of 22314314022 in words is "twenty-two billion, three hundred fourteen million, three hundred fourteen thousand, twenty-two".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 143 154 182 231 273 286 379 429 462 546 758 858 1001 1137 2002 2274 2653 3003 4169 4927 5306 6006 7959 8338 9803 9854 12507 14781 15918 19606 25014 29183 29409 29562 34489 54197 58366 58818 68621 68978 87549 103467 107833 108394 127439 137242 162591 175098 205863 206934 215666 254878 323499 325182 379379 382317 411726 646998 754831 758758 764634 892073 1138137 1401829 1509662 1784146 2264493 2276274 2676219 2803658 3715337 4205487 4528986 5352438 7430674 8410974 9812803 11146011 19625606 22292022 26007359 29438409 40868707 48299381 52014718 58876818 78022077 81737414 96598762 122606121 144898143 156044154 245212242 286080949 289796286 338095667 531293191 572161898 676191334 858242847 1014287001 1062586382 1593879573 1716485694 2028574002 3187759146 3719052337 7438104674 11157157011 22314314022