Search a number
-
+
222100212220120 = 235132689371588163
BaseRepresentation
bin110010011111111110111100…
…010000010000000011011000
31002010101120110122220122201101
4302133332330100100003120
5213102342213312020440
62104211232352201144
764532132206554523
oct6237767420200330
91063346418818641
10222100212220120
116484a1977263a3
1220ab06138391b4
1396c0c6358bc40
143cbb9c9a35bba
151aa2509aac69a
hexc9ffbc4100d8

222100212220120 has 64 divisors (see below), whose sum is σ = 538168238788320. Its totient is φ = 82005875641344.

The previous prime is 222100212220063. The next prime is 222100212220279. The reversal of 222100212220120 is 21022212001222.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 139053159 + ... + 140641321.

Almost surely, 2222100212220120 is an apocalyptic number.

222100212220120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222100212220120 is an abundant number, since it is smaller than the sum of its proper divisors (316068026568200).

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

222100212220120 is a wasteful number, since it uses less digits than its factorization.

222100212220120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1857124 (or 1857120 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 222100212220120 its reverse (21022212001222), we get a palindrome (243122424221342).

The spelling of 222100212220120 in words is "two hundred twenty-two trillion, one hundred billion, two hundred twelve million, two hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 268937 537874 1075748 1344685 1588163 2151496 2689370 3176326 3496181 5378740 6352652 6992362 7940815 10757480 12705304 13984724 15881630 17480905 20646119 27969448 31763260 34961810 41292238 63526520 69923620 82584476 103230595 139847240 165168952 206461190 412922380 825844760 427115792731 854231585462 1708463170924 2135578963655 3416926341848 4271157927310 5552505305503 8542315854620 11105010611006 17084631709240 22210021222012 27762526527515 44420042444024 55525053055030 111050106110060 222100212220120