Search a number
-
+
22222221111120 = 243592592587963
BaseRepresentation
bin1010000110110000000111…
…00110000110111101010000
32220200102102210112110000210
411003120003212012331100
510403042102101023440
6115132425240444120
74452334232554332
oct503300346067520
986612383473023
1022222221111120
117098433537768
1225aa994a79640
13c52714755624
1456b7c0089452
152880b7040a80
hex143603986f50

22222221111120 has 40 divisors (see below), whose sum is σ = 68888885445216. Its totient is φ = 5925925629568.

The previous prime is 22222221111049. The next prime is 22222221111121. The reversal of 22222221111120 is 2111112222222.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×222222211111202 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22222221111121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46296293742 + ... + 46296294221.

Almost surely, 222222221111120 is an apocalyptic number.

22222221111120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22222221111120 is an abundant number, since it is smaller than the sum of its proper divisors (46666664334096).

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

22222221111120 is a wasteful number, since it uses less digits than its factorization.

22222221111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92592587979 (or 92592587973 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 22222221111120 its reverse (2111112222222), we get a palindrome (24333333333342).

The spelling of 22222221111120 in words is "twenty-two trillion, two hundred twenty-two billion, two hundred twenty-one million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 92592587963 185185175926 277777763889 370370351852 462962939815 555555527778 740740703704 925925879630 1111111055556 1388888819445 1481481407408 1851851759260 2222222111112 2777777638890 3703703518520 4444444222224 5555555277780 7407407037040 11111110555560 22222221111120