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223023010100 = 225211499406309
BaseRepresentation
bin1100111110110100110…
…1010001000100110100
3210022122212010210000012
43033231031101010310
512123222342310400
6250242205035352
722053501210302
oct3175515210464
9708585123005
10223023010100
1186646747480
1237281b55b58
13180530a6887
14ab19a7d272
155c047cbd35
hex33ed351134

223023010100 has 72 divisors (see below), whose sum is σ = 529015620000. Its totient is φ = 80936553600.

The previous prime is 223023010087. The next prime is 223023010103. The reversal of 223023010100 is 1010320322.

It is a happy number.

223023010100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223023010103) 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 23 ways as a sum of consecutive naturals, for example, 345746 + ... + 752054.

Almost surely, 2223023010100 is an apocalyptic number.

223023010100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223023010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264507810000).

223023010100 is an abundant number, since it is smaller than the sum of its proper divisors (305992609900).

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

223023010100 is a wasteful number, since it uses less digits than its factorization.

223023010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406833 (or 406826 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 223023010100 its reverse (1010320322), we get a palindrome (224033330422).

The spelling of 223023010100 in words is "two hundred twenty-three billion, twenty-three million, ten thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 499 550 998 1100 1996 2495 4990 5489 9980 10978 12475 21956 24950 27445 49900 54890 109780 137225 274450 406309 548900 812618 1625236 2031545 4063090 4469399 8126180 8938798 10157725 17877596 20315450 22346995 40630900 44693990 89387980 111734975 202748191 223469950 405496382 446939900 810992764 1013740955 2027481910 2230230101 4054963820 4460460202 5068704775 8920920404 10137409550 11151150505 20274819100 22302301010 44604602020 55755752525 111511505050 223023010100