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221144340 = 22353685739
BaseRepresentation
bin11010010111001…
…10010100010100
3120102010022000010
431023212110110
5423103104330
633535520220
75323460454
oct1513462424
9512108003
10221144340
1110391501a
1262089070
1336a7b551
1421527d64
15146343b0
hexd2e6514

221144340 has 24 divisors (see below), whose sum is σ = 619204320. Its totient is φ = 58971808.

The previous prime is 221144321. The next prime is 221144369. The reversal of 221144340 is 43441122.

It is a super-2 number, since 2×2211443402 = 97809638228071200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1842810 + ... + 1842929.

It is an arithmetic number, because the mean of its divisors is an integer number (25800180).

Almost surely, 2221144340 is an apocalyptic number.

221144340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221144340 is an abundant number, since it is smaller than the sum of its proper divisors (398059980).

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

221144340 is a wasteful number, since it uses less digits than its factorization.

221144340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3685751 (or 3685749 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 221144340 is about 14870.9226344568. The cubic root of 221144340 is about 604.7259556164.

Adding to 221144340 its reverse (43441122), we get a palindrome (264585462).

The spelling of 221144340 in words is "two hundred twenty-one million, one hundred forty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 3685739 7371478 11057217 14742956 18428695 22114434 36857390 44228868 55286085 73714780 110572170 221144340