Search a number
-
+
22022022221120 = 265371859968093
BaseRepresentation
bin1010000000111011001101…
…10011111100110101000000
32212222021200121000002202002
411000131212303330311000
510341302100142033440
6114500435523443132
74432016145225155
oct500354663746500
985867617002662
1022022022221120
11702053a481569
1225780228264a8
13c3988b17a47c
14561c2b7d422c
15282c9b3d1115
hex140766cfcd40

22022022221120 has 56 divisors (see below), whose sum is σ = 53857236129864. Its totient is φ = 8570732967936.

The previous prime is 22022022221057. The next prime is 22022022221123. The reversal of 22022022221120 is 2112222022022.

It can be written as a sum of positive squares in 4 ways, for example, as 1762373071936 + 20259649149184 = 1327544^2 + 4501072^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 22022022221092 and 22022022221101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22022022221123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 929972207 + ... + 929995886.

Almost surely, 222022022221120 is an apocalyptic number.

22022022221120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22022022221120 is an abundant number, since it is smaller than the sum of its proper divisors (31835213908744).

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

22022022221120 is a wasteful number, since it uses less digits than its factorization.

22022022221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1859968147 (or 1859968137 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 22022022221120 its reverse (2112222022022), we get a palindrome (24134244243142).

The spelling of 22022022221120 in words is "twenty-two trillion, twenty-two billion, twenty-two million, two hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 64 74 80 148 160 185 296 320 370 592 740 1184 1480 2368 2960 5920 11840 1859968093 3719936186 7439872372 9299840465 14879744744 18599680930 29759489488 37199361860 59518978976 68818819441 74398723720 119037957952 137637638882 148797447440 275275277764 297594894880 344094097205 550550555528 595189789760 688188194410 1101101111056 1376376388820 2202202222112 2752752777640 4404404444224 5505505555280 11011011110560 22022022221120