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221223100122 = 23237332166817
BaseRepresentation
bin1100111000000111101…
…1001001111011011010
3210011000102021212200200
43032001323021323122
512111031103200442
6245343430443030
721661054216323
oct3160173117332
9704012255620
10221223100122
1185902744472
1236a5b203476
1317b2721879b
14a9c89cb44a
155b4b79034c
hex3381ec9eda

221223100122 has 24 divisors (see below), whose sum is σ = 492271224276. Its totient is φ = 71748032256.

The previous prime is 221223100117. The next prime is 221223100169. The reversal of 221223100122 is 221001322122.

221223100122 is a `hidden beast` number, since 221 + 223 + 100 + 122 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 214118127441 + 7104972681 = 462729^2 + 84291^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 221223100095 and 221223100104.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 166082743 + ... + 166084074.

Almost surely, 2221223100122 is an apocalyptic number.

221223100122 is an abundant number, since it is smaller than the sum of its proper divisors (271048124154).

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

221223100122 is a wasteful number, since it uses less digits than its factorization.

221223100122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332166862 (or 332166859 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 221223100122 its reverse (221001322122), we get a palindrome (442224422244).

The spelling of 221223100122 in words is "two hundred twenty-one billion, two hundred twenty-three million, one hundred thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 666 332166817 664333634 996500451 1993000902 2989501353 5979002706 12290172229 24580344458 36870516687 73741033374 110611550061 221223100122