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22220103405522 = 231123227160140277
BaseRepresentation
bin1010000110101100001010…
…10111101100111111010010
32220200012222012200212002010
411003112011113230333102
510403023232432434042
6115131435151003350
74452230606425461
oct503260527547722
986605865625063
1022220103405522
117097547106150
1225aa4a3809556
13c52467aa87a9
1456b65cb109d8
15287ee117c59c
hex1435855ecfd2

22220103405522 has 128 divisors (see below), whose sum is σ = 50843915716608. Its totient is φ = 6408072704000.

The previous prime is 22220103405491. The next prime is 22220103405523. The reversal of 22220103405522 is 22550430102222.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 22220103405522.

It is not an unprimeable number, because it can be changed into a prime (22220103405523) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 551662048 + ... + 551702324.

It is an arithmetic number, because the mean of its divisors is an integer number (397218091536).

Almost surely, 222220103405522 is an apocalyptic number.

22220103405522 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 22220103405522, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25421957858304).

22220103405522 is an abundant number, since it is smaller than the sum of its proper divisors (28623812311086).

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

22220103405522 is a wasteful number, since it uses less digits than its factorization.

22220103405522 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42144.

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 22220103405522 its reverse (22550430102222), we get a palindrome (44770533507744).

The spelling of 22220103405522 in words is "twenty-two trillion, two hundred twenty billion, one hundred three million, four hundred five thousand, five hundred twenty-two".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 138 227 253 454 506 681 759 1362 1518 1601 2497 3202 4803 4994 5221 7491 9606 10442 14982 15663 17611 31326 35222 36823 40277 52833 57431 73646 80554 105666 110469 114862 120831 172293 220938 241662 344586 363427 405053 443047 726854 810106 886094 926371 1090281 1215159 1329141 1852742 2180562 2430318 2658282 2779113 3997697 5558226 7995394 8358821 9142879 10190081 11993091 16717642 18285758 20380162 23986182 25076463 27428637 30570243 50152926 54857274 61140486 64483477 91947031 100571669 128966954 183894062 193450431 201143338 210286217 275841093 301715007 386900862 420572434 551682186 603430014 630858651 709318247 1261717302 1418636494 1483119971 2127954741 2313148387 2966239942 4255909482 4449359913 4626296774 6939445161 8898719826 13878890322 14637749279 16314319681 29275498558 32628639362 43913247837 48942959043 87826495674 97885918086 161015242069 322030484138 336668233417 483045726207 673336466834 966091452414 1010004700251 2020009400502 3703350567587 7406701135174 11110051702761 22220103405522