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23204122104420 = 22325193667936733
BaseRepresentation
bin1010100011010101000010…
…11101001001001001100100
310001011021220011111001211100
411101222201131021021210
511020134020224320140
6121203454310440100
74613304530364105
oct521524135111144
9101137804431740
1023204122104420
1174368a3aa7a84
122729145663030
13cc41a713723a
145a312a8923ac
152a38d4893530
hex151aa1749264

23204122104420 has 72 divisors (see below), whose sum is σ = 70750530612216. Its totient is φ = 6155704922112.

The previous prime is 23204122104407. The next prime is 23204122104431. The reversal of 23204122104420 is 2440122140232.

It is a happy number.

23204122104420 is a `hidden beast` number, since 2 + 3 + 2 + 0 + 4 + 1 + 2 + 210 + 442 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1806077961216 + 21398044143204 = 1343904^2 + 4625802^2 .

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, 333933627 + ... + 334003106.

It is an arithmetic number, because the mean of its divisors is an integer number (982646258503).

Almost surely, 223204122104420 is an apocalyptic number.

23204122104420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23204122104420 is an abundant number, since it is smaller than the sum of its proper divisors (47546408507796).

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

23204122104420 is a wasteful number, since it uses less digits than its factorization.

23204122104420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667936941 (or 667936936 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 23204122104420 its reverse (2440122140232), we get a palindrome (25644244244652).

The spelling of 23204122104420 in words is "twenty-three trillion, two hundred four billion, one hundred twenty-two million, one hundred four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 193 386 579 772 965 1158 1737 1930 2316 2895 3474 3860 5790 6948 8685 11580 17370 34740 667936733 1335873466 2003810199 2671746932 3339683665 4007620398 6011430597 6679367330 8015240796 10019050995 12022861194 13358734660 20038101990 24045722388 30057152985 40076203980 60114305970 120228611940 128911789469 257823578938 386735368407 515647157876 644558947345 773470736814 1160206105221 1289117894690 1546941473628 1933676842035 2320412210442 2578235789380 3867353684070 4640824420884 5801030526105 7734707368140 11602061052210 23204122104420