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223233320420 = 225112344117257
BaseRepresentation
bin1100111111100110111…
…1100010010111100100
3210100012111212122112022
43033321233202113210
512124140212223140
6250315120442312
722061633626025
oct3177157422744
9710174778468
10223233320420
1186744431760
1237320479398
1318087830a56
14ab39986c4c
155c17ec10b5
hex33f9be25e4

223233320420 has 48 divisors (see below), whose sum is σ = 533642352768. Its totient is φ = 77646370560.

The previous prime is 223233320419. The next prime is 223233320423. The reversal of 223233320420 is 24023332322.

It is a super-3 number, since 3×2232333204203 (a number of 35 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 223233320420.

It is not an unprimeable number, because it can be changed into a prime (223233320423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22053569 + ... + 22063688.

It is an arithmetic number, because the mean of its divisors is an integer number (11117549016).

Almost surely, 2223233320420 is an apocalyptic number.

223233320420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223233320420 is an abundant number, since it is smaller than the sum of its proper divisors (310409032348).

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

223233320420 is a wasteful number, since it uses less digits than its factorization.

223233320420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44117300 (or 44117298 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 26.

Adding to 223233320420 its reverse (24023332322), we get a palindrome (247256652742).

The spelling of 223233320420 in words is "two hundred twenty-three billion, two hundred thirty-three million, three hundred twenty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 110 115 220 230 253 460 506 1012 1265 2530 5060 44117257 88234514 176469028 220586285 441172570 485289827 882345140 970579654 1014696911 1941159308 2029393822 2426449135 4058787644 4852898270 5073484555 9705796540 10146969110 11161666021 20293938220 22323332042 44646664084 55808330105 111616660210 223233320420