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10223002200220 = 22519972287121271
BaseRepresentation
bin1001010011000011101001…
…1010100010100010011100
31100012022100121012210001021
42110300322122202202130
52314443202030401340
633424214332053524
72103405344643445
oct224607232424234
940168317183037
1010223002200220
113291607257747
1211913529042a4
13592042b27154
14274b201122cc
1512adcc9ade4a
hex94c3a6a289c

10223002200220 has 96 divisors (see below), whose sum is σ = 22841358059520. Its totient is φ = 3832333793280.

The previous prime is 10223002200133. The next prime is 10223002200223. The reversal of 10223002200220 is 2200220032201.

It is a junction number, because it is equal to n+sod(n) for n = 10223002200194 and 10223002200203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10223002200223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84238185 + ... + 84359455.

It is an arithmetic number, because the mean of its divisors is an integer number (237930813120).

Almost surely, 210223002200220 is an apocalyptic number.

10223002200220 is a gapful number since it is divisible by the number (10) 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 10223002200220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11420679029760).

10223002200220 is an abundant number, since it is smaller than the sum of its proper divisors (12618355859300).

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

10223002200220 is a wasteful number, since it uses less digits than its factorization.

10223002200220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123683 (or 123681 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 10223002200220 its reverse (2200220032201), we get a palindrome (12423222232421).

The spelling of 10223002200220 in words is "ten trillion, two hundred twenty-three billion, two million, two hundred thousand, two hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 97 190 194 380 388 485 970 1843 1940 2287 3686 4574 7372 9148 9215 11435 18430 22870 36860 43453 45740 86906 121271 173812 217265 221839 242542 434530 443678 485084 606355 869060 887356 1109195 1212710 2218390 2304149 2425420 4214941 4436780 4608298 8429882 9216596 11520745 11763287 16859764 21074705 23041490 23526574 42149410 46082980 47053148 58816435 84298820 117632870 223502453 235265740 277346777 447004906 554693554 894009812 1109387108 1117512265 1386733885 2235024530 2773467770 4470049060 5269588763 5546935540 10539177526 21078355052 26347943815 26902637369 52695887630 53805274738 105391775260 107610549476 134513186845 269026373690 511150110011 538052747380 1022300220022 2044600440044 2555750550055 5111501100110 10223002200220