Search a number
-
+
202200220222002 = 23271179883889021
BaseRepresentation
bin101101111110011001101000…
…010011001100001000110010
3222111221011010000011000211100
4231332121220103030020302
5203000322022334101002
61554013255424425230
760406324644526332
oct5576315023141062
9874834100130740
10202200220222002
11594776a4a6a392
121a817910778216
1388a9525659ba2
1437d078591d0c2
151859a599e211c
hexb7e6684cc232

202200220222002 has 48 divisors (see below), whose sum is σ = 446752867279680. Its totient is φ = 66079543135200.

The previous prime is 202200220221959. The next prime is 202200220222027. The reversal of 202200220222002 is 200222022002202.

202200220222002 is a `hidden beast` number, since 2 + 0 + 220 + 0 + 220 + 2 + 220 + 0 + 2 = 666.

It is a super-2 number, since 2×2022002202220022 (a number of 29 digits) contains 22 as substring.

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

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 23 ways as a sum of consecutive naturals, for example, 441715749 + ... + 442173272.

It is an arithmetic number, because the mean of its divisors is an integer number (9307351401660).

Almost surely, 2202200220222002 is an apocalyptic number.

202200220222002 is an abundant number, since it is smaller than the sum of its proper divisors (244552647057678).

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

202200220222002 is a wasteful number, since it uses less digits than its factorization.

202200220222002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883889279 (or 883889276 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 202200220222002 its reverse (200222022002202), we get a palindrome (402422242224204).

The spelling of 202200220222002 in words is "two hundred two trillion, two hundred billion, two hundred twenty million, two hundred twenty-two thousand, two".

Divisors: 1 2 3 6 9 18 71 142 179 213 358 426 537 639 1074 1278 1611 3222 12709 25418 38127 76254 114381 228762 883889021 1767778042 2651667063 5303334126 7955001189 15910002378 62756120491 125512240982 158216134759 188268361473 316432269518 376536722946 474648404277 564805084419 949296808554 1129610168838 1423945212831 2847890425662 11233345567889 22466691135778 33700036703667 67400073407334 101100110111001 202200220222002