Search a number
-
+
20202202022202 = 2332920176395891
BaseRepresentation
bin1001001011111101100010…
…00100110100000100111010
32122112022102012020111202000
410211332301010310010322
510121443102204202302
6110544432525121430
74153363253606454
oct445766104640472
978468365214660
1020202202022202
11648978440a0a2
1223233a46b9276
13b370a0891b15
144dbb129852d4
1525078b7c631c
hex125fb113413a

20202202022202 has 64 divisors (see below), whose sum is σ = 46464876201600. Its totient is φ = 6498633576960.

The previous prime is 20202202022143. The next prime is 20202202022207. The reversal of 20202202022202 is 20222020220202.

20202202022202 is a `hidden beast` number, since 2 + 0 + 20 + 220 + 202 + 220 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (20202202022207) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39324 + ... + 6356567.

It is an arithmetic number, because the mean of its divisors is an integer number (726013690650).

Almost surely, 220202202022202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20202202022202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23232438100800).

20202202022202 is an abundant number, since it is smaller than the sum of its proper divisors (26262674179398).

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

20202202022202 is a wasteful number, since it uses less digits than its factorization.

20202202022202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6397948 (or 6397942 counting only the distinct ones).

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

Adding to 20202202022202 its reverse (20222020220202), we get a palindrome (40424222242404).

The spelling of 20202202022202 in words is "twenty trillion, two hundred two billion, two hundred two million, twenty-two thousand, two hundred two".

Divisors: 1 2 3 6 9 18 27 29 54 58 87 174 261 522 783 1566 2017 4034 6051 12102 18153 36306 54459 58493 108918 116986 175479 350958 526437 1052874 1579311 3158622 6395891 12791782 19187673 38375346 57563019 115126038 172689057 185480839 345378114 370961678 556442517 1112885034 1669327551 3338655102 5007982653 10015965306 12900512147 25801024294 38701536441 77403072882 116104609323 232209218646 348313827969 374114852263 696627655938 748229704526 1122344556789 2244689113578 3367033670367 6734067340734 10101101011101 20202202022202