Search a number
-
+
22123402333020 = 223251219710076887
BaseRepresentation
bin1010000011111000000011…
…00010011000101101011100
32220022222100221120101121100
411001330001202120231130
510344432211444124040
6115015203431233100
74442235351034422
oct501740142305534
986288327511540
1022123402333020
11705a53395210a
1225937b6818790
13c462c6894171
14566ac7c6b112
15285731882b30
hex141f01898b5c

22123402333020 has 72 divisors (see below), whose sum is σ = 67113162383904. Its totient is φ = 5899089679488.

The previous prime is 22123402333013. The next prime is 22123402333079. The reversal of 22123402333020 is 2033320432122.

22123402333020 is a `hidden beast` number, since 2 + 2 + 12 + 340 + 2 + 3 + 3 + 302 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2842984 + ... + 7233903.

It is an arithmetic number, because the mean of its divisors is an integer number (932127255332).

Almost surely, 222123402333020 is an apocalyptic number.

22123402333020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22123402333020 is an abundant number, since it is smaller than the sum of its proper divisors (44989760050884).

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

22123402333020 is a wasteful number, since it uses less digits than its factorization.

22123402333020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10089099 (or 10089094 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 22123402333020 its reverse (2033320432122), we get a palindrome (24156722765142).

The spelling of 22123402333020 in words is "twenty-two trillion, one hundred twenty-three billion, four hundred two million, three hundred thirty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 12197 24394 36591 48788 60985 73182 109773 121970 146364 182955 219546 243940 365910 439092 548865 731820 1097730 2195460 10076887 20153774 30230661 40307548 50384435 60461322 90691983 100768870 120922644 151153305 181383966 201537740 302306610 362767932 453459915 604613220 906919830 1813839660 122907790739 245815581478 368723372217 491631162956 614538953695 737446744434 1106170116651 1229077907390 1474893488868 1843616861085 2212340233302 2458155814780 3687233722170 4424680466604 5530850583255 7374467444340 11061701166510 22123402333020