Search a number
-
+
223103100032 = 2723311243673
BaseRepresentation
bin1100111111000111111…
…0110010010010000000
3210022212102211202201222
43033301332302102000
512123403343200112
6250254145414212
722055463026531
oct3176176622200
9708772752658
10223103100032
118668797a1aa
12372a493a368
1318066868b77
14ab2656a688
155c0b84c372
hex33f1fb2480

223103100032 has 64 divisors (see below), whose sum is σ = 465280882560. Its totient is φ = 106357954560.

The previous prime is 223103100019. The next prime is 223103100049. The reversal of 223103100032 is 230001301322.

223103100032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×2231031000323 (a number of 35 digits) contains 333 as substring.

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 7 ways as a sum of consecutive naturals, for example, 793748 + ... + 1037420.

It is an arithmetic number, because the mean of its divisors is an integer number (7270013790).

Almost surely, 2223103100032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223103100032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232640441280).

223103100032 is an abundant number, since it is smaller than the sum of its proper divisors (242177782528).

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

223103100032 is a wasteful number, since it uses less digits than its factorization.

223103100032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244021 (or 244009 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 223103100032 its reverse (230001301322), we get a palindrome (453104401354).

The spelling of 223103100032 in words is "two hundred twenty-three billion, one hundred three million, one hundred thousand, thirty-two".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 311 368 622 736 1244 1472 2488 2944 4976 7153 9952 14306 19904 28612 39808 57224 114448 228896 243673 457792 487346 915584 974692 1949384 3898768 5604479 7797536 11208958 15595072 22417916 31190144 44835832 75782303 89671664 151564606 179343328 303129212 358686656 606258424 717373312 1212516848 1742992969 2425033696 3485985938 4850067392 6971971876 9700134784 13943943752 27887887504 55775775008 111551550016 223103100032