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221340040 = 23523240587
BaseRepresentation
bin11010011000101…
…10000110001000
3120102111020110021
431030112012020
5423130340130
633544030224
75325234145
oct1514260610
9512436407
10221340040
11103a39059
1262162374
1336b1964c
14215793cc
151467237a
hexd316188

221340040 has 32 divisors (see below), whose sum is σ = 519670080. Its totient is φ = 84686272.

The previous prime is 221340029. The next prime is 221340043. The reversal of 221340040 is 40043122.

It is a junction number, because it is equal to n+sod(n) for n = 221339996 and 221340023.

It is not an unprimeable number, because it can be changed into a prime (221340043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 119374 + ... + 121213.

It is an arithmetic number, because the mean of its divisors is an integer number (16239690).

Almost surely, 2221340040 is an apocalyptic number.

221340040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221340040 is an abundant number, since it is smaller than the sum of its proper divisors (298330040).

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

221340040 is a wasteful number, since it uses less digits than its factorization.

221340040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240621 (or 240617 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 221340040 is about 14877.5011342631. The cubic root of 221340040 is about 604.9042855663.

Adding to 221340040 its reverse (40043122), we get a palindrome (261383162).

The spelling of 221340040 in words is "two hundred twenty-one million, three hundred forty thousand, forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 920 240587 481174 962348 1202935 1924696 2405870 4811740 5533501 9623480 11067002 22134004 27667505 44268008 55335010 110670020 221340040