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23224230420100 = 2252232953460673
BaseRepresentation
bin1010100011111010100000…
…00000010001111010000100
310001020012210112211100020221
411101331100000101322010
511021001210441420400
6121221021505434124
74614616036266133
oct521752000217204
9101205715740227
1023224230420100
117444382688196
12273101793b944
13cc60600a7698
145a40b72d191a
152a41aeda7c1a
hex151f50011e84

23224230420100 has 108 divisors (see below), whose sum is σ = 52738399002996. Its totient is φ = 8876449218560.

The previous prime is 23224230420047. The next prime is 23224230420121. The reversal of 23224230420100 is 102403242232.

It can be written as a sum of positive squares in 6 ways, for example, as 143950430464 + 23080279989636 = 379408^2 + 4804194^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 50183364 + ... + 50644036.

It is an arithmetic number, because the mean of its divisors is an integer number (488318509287).

Almost surely, 223224230420100 is an apocalyptic number.

23224230420100 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 23224230420100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26369199501498).

23224230420100 is an abundant number, since it is smaller than the sum of its proper divisors (29514168582896).

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

23224230420100 is a wasteful number, since it uses less digits than its factorization.

23224230420100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461686 (or 461656 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 23224230420100 its reverse (102403242232), we get a palindrome (23326633662332).

The spelling of 23224230420100 in words is "twenty-three trillion, two hundred twenty-four billion, two hundred thirty million, four hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 460 529 575 953 1058 1150 1906 2116 2300 2645 3812 4765 5290 9530 10580 13225 19060 21919 23825 26450 43838 47650 52900 87676 95300 109595 219190 438380 460673 504137 547975 921346 1008274 1095950 1842692 2016548 2191900 2303365 2520685 4606730 5041370 9213460 10082740 10595479 11516825 12603425 21190958 23033650 25206850 42381916 46067300 50413700 52977395 105954790 211909580 243696017 264886975 439021369 487392034 529773950 878042738 974784068 1059547900 1218480085 1756085476 2195106845 2436960170 4390213690 4873920340 6092400425 8780427380 10097491487 10975534225 12184800850 20194982974 21951068450 24369601700 40389965948 43902136900 50487457435 100974914870 201949829740 232242304201 252437287175 464484608402 504874574350 928969216804 1009749148700 1161211521005 2322423042010 4644846084020 5806057605025 11612115210050 23224230420100