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202202200120212 = 22325616727781117
BaseRepresentation
bin101101111110011011011110…
…010011111001101110010100
3222111221100012222200021120200
4231332123132103321232110
5203000340101212321322
61554014224112500500
760406425005426325
oct5576333623715624
9874840188607520
10202202200120212
11594785206271a6
121a81818384a730
1388a977c8b66a6
1437d08d286444c
151859b237338ac
hexb7e6de4f9b94

202202200120212 has 18 divisors (see below), whose sum is σ = 511122228081738. Its totient is φ = 67400733373392.

The previous prime is 202202200120199. The next prime is 202202200120213. The reversal of 202202200120212 is 212021002202202.

202202200120212 is a `hidden beast` number, since 2 + 0 + 220 + 220 + 0 + 12 + 0 + 212 = 666.

It can be written as a sum of positive squares in only one way, i.e., 201292931075076 + 909269045136 = 14187774^2 + 953556^2 .

It is a tau number, because it is divible by the number of its divisors (18).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202202200120213) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2808363890523 + ... + 2808363890594.

Almost surely, 2202202200120212 is an apocalyptic number.

It is an amenable number.

202202200120212 is an abundant number, since it is smaller than the sum of its proper divisors (308920027961526).

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

202202200120212 is a wasteful number, since it uses less digits than its factorization.

202202200120212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5616727781127 (or 5616727781122 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 202202200120212 its reverse (212021002202202), we get a palindrome (414223202322414).

The spelling of 202202200120212 in words is "two hundred two trillion, two hundred two billion, two hundred million, one hundred twenty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 5616727781117 11233455562234 16850183343351 22466911124468 33700366686702 50550550030053 67400733373404 101101100060106 202202200120212