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223111000002 = 231121014916197
BaseRepresentation
bin1100111111001001110…
…0111010111111000010
3210022212222201010110110
43033302130322333002
512123412404000002
6250255031012150
722055620131522
oct3176234727702
9708788633413
10223111000002
1186691385600
12372a750a056
13180683a38c7
14ab27625682
155c0c3ace6c
hex33f273afc2

223111000002 has 96 divisors (see below), whose sum is σ = 496420529472. Its totient is φ = 66792880000.

The previous prime is 223110999989. The next prime is 223111000019. The reversal of 223111000002 is 200000111322.

It is a super-3 number, since 3×2231110000023 (a number of 35 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35999968 + ... + 36006164.

It is an arithmetic number, because the mean of its divisors is an integer number (5171047182).

Almost surely, 2223111000002 is an apocalyptic number.

223111000002 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 223111000002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248210264736).

223111000002 is an abundant number, since it is smaller than the sum of its proper divisors (273309529470).

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

223111000002 is a wasteful number, since it uses less digits than its factorization.

223111000002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6816 (or 6805 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 223111000002 its reverse (200000111322), we get a palindrome (423111111324).

The spelling of 223111000002 in words is "two hundred twenty-three billion, one hundred eleven million, two", and thus it is an aban number.

Divisors: 1 2 3 6 11 22 33 66 101 121 202 242 303 363 491 606 726 982 1111 1473 2222 2946 3333 5401 6197 6666 10802 12221 12394 16203 18591 24442 32406 36663 37182 49591 59411 68167 73326 99182 118822 136334 148773 178233 204501 297546 356466 409002 545501 625897 749837 1091002 1251794 1499674 1636503 1877691 2249511 3042727 3273006 3755382 4499022 6000511 6085454 6884867 9128181 12001022 13769734 18001533 18256362 20654601 33469997 36003066 41309202 66939994 75733537 100409991 151467074 200819982 227200611 307315427 368169967 454401222 614630854 736339934 921946281 1104509901 1843892562 2209019802 3380469697 6760939394 10141409091 20282818182 37185166667 74370333334 111555500001 223111000002