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223003240040 = 23571709466027
BaseRepresentation
bin1100111110110000000…
…1110110011001101000
3210022121110221100120202
43033230001312121220
512123202312140130
6250240221211332
722053141156530
oct3175401663150
9708543840522
10223003240040
1186636573989
1237277400b48
131804bc74009
14ab171b44c0
155c02bc4145
hex33ec076668

223003240040 has 64 divisors (see below), whose sum is σ = 573773673600. Its totient is φ = 76413351168.

The previous prime is 223003240039. The next prime is 223003240043. The reversal of 223003240040 is 40042300322.

223003240040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 223003239994 and 223003240021.

It is not an unprimeable number, because it can be changed into a prime (223003240043) 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 15 ways as a sum of consecutive naturals, for example, 245507 + ... + 711533.

It is an arithmetic number, because the mean of its divisors is an integer number (8965213650).

Almost surely, 2223003240040 is an apocalyptic number.

223003240040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223003240040 is an abundant number, since it is smaller than the sum of its proper divisors (350770433560).

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

223003240040 is a wasteful number, since it uses less digits than its factorization.

223003240040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467754 (or 467750 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

Adding to 223003240040 its reverse (40042300322), we get a palindrome (263045540362).

The spelling of 223003240040 in words is "two hundred twenty-three billion, three million, two hundred forty thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 1709 3418 6836 8545 11963 13672 17090 23926 34180 47852 59815 68360 95704 119630 239260 466027 478520 932054 1864108 2330135 3262189 3728216 4660270 6524378 9320540 13048756 16310945 18641080 26097512 32621890 65243780 130487560 796440143 1592880286 3185760572 3982200715 5575081001 6371521144 7964401430 11150162002 15928802860 22300324004 27875405005 31857605720 44600648008 55750810010 111501620020 223003240040