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202202221212112 = 241117325771257689
BaseRepresentation
bin101101111110011011011111…
…100100010111000111010000
3222111221100021110100212020011
4231332123133210113013100
5203000340122112241422
61554014230144524304
760406425352623622
oct5576333744270720
9874840243325204
10202202221212112
1159478531522920
121a81818a920694
1388a978408cac4
1437d08d5594c12
151859b254ed077
hexb7e6df9171d0

202202221212112 has 80 divisors (see below), whose sum is σ = 429870731423040. Its totient is φ = 91374927897600.

The previous prime is 202202221212109. The next prime is 202202221212161. The reversal of 202202221212112 is 211212122202202.

It is a super-2 number, since 2×2022022212121122 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 784546564 + ... + 784804252.

It is an arithmetic number, because the mean of its divisors is an integer number (5373384142788).

Almost surely, 2202202221212112 is an apocalyptic number.

202202221212112 is a gapful number since it is divisible by the number (22) 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 202202221212112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214935365711520).

202202221212112 is an abundant number, since it is smaller than the sum of its proper divisors (227668510210928).

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

202202221212112 is a wasteful number, since it uses less digits than its factorization.

202202221212112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283652 (or 283646 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 202202221212112 its reverse (211212122202202), we get a palindrome (413414343414314).

The spelling of 202202221212112 in words is "two hundred two trillion, two hundred two billion, two hundred twenty-one million, two hundred twelve thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 44 88 173 176 346 692 1384 1903 2768 3806 7612 15224 25771 30448 51542 103084 206168 257689 283481 412336 515378 566962 1030756 1133924 2061512 2267848 2834579 4123024 4458383 4535696 5669158 8916766 11338316 17833532 22676632 35667064 44580197 45353264 49042213 71334128 89160394 98084426 178320788 196168852 356641576 392337704 490382167 713283152 784675408 980764334 1961528668 3923057336 6640903219 7846114672 13281806438 26563612876 53127225752 73049935409 106254451504 146099870818 292199741636 584399483272 1148876256887 1168798966544 2297752513774 4595505027548 9191010055096 12637638825757 18382020110192 25275277651514 50550555303028 101101110606056 202202221212112