Search a number
-
+
23322123330420 = 22354611472357269
BaseRepresentation
bin1010100110110000110101…
…11000000110001101110100
310001120120110212121102212010
411103120122320012031310
511024102202033033140
6121334011402324220
74624652646302055
oct523303270061564
9101516425542763
1023322123330420
117481947682662
122747b97ab9670
1310023611b62a5
145a8b2257c72c
152a69de129880
hex15361ae06374

23322123330420 has 96 divisors (see below), whose sum is σ = 65449185943680. Its totient is φ = 6205212290560.

The previous prime is 23322123330379. The next prime is 23322123330421. The reversal of 23322123330420 is 2403332122332.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23322123330421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 407209546 + ... + 407266814.

It is an arithmetic number, because the mean of its divisors is an integer number (681762353580).

Almost surely, 223322123330420 is an apocalyptic number.

23322123330420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23322123330420 is an abundant number, since it is smaller than the sum of its proper divisors (42127062613260).

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

23322123330420 is a wasteful number, since it uses less digits than its factorization.

23322123330420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72465 (or 72463 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 30.

Adding to 23322123330420 its reverse (2403332122332), we get a palindrome (25725455452752).

The spelling of 23322123330420 in words is "twenty-three trillion, three hundred twenty-two billion, one hundred twenty-three million, three hundred thirty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 461 922 1383 1844 2305 2766 4610 5532 6915 9220 13830 14723 27660 29446 44169 57269 58892 73615 88338 114538 147230 171807 176676 220845 229076 286345 294460 343614 441690 572690 687228 859035 883380 1145380 1718070 3436140 6787303 13574606 20361909 26401009 27149212 33936515 40723818 52802018 67873030 79203027 81447636 101809545 105604036 132005045 135746060 158406054 203619090 264010090 316812108 396015135 407238180 528020180 792030270 843171487 1584060540 1686342974 2529514461 3372685948 4215857435 5059028922 8431714870 10118057844 12647572305 16863429740 25295144610 50590289220 388702055507 777404111014 1166106166521 1554808222028 1943510277535 2332212333042 3887020555070 4664424666084 5830530832605 7774041110140 11661061665210 23322123330420