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222826140 = 22365172931
BaseRepresentation
bin11010100100000…
…00111010011100
3120112021202000000
431102000322130
5424020414030
634035534300
75343663615
oct1522007234
9515252000
10222826140
11104863639
126275a390
1337219bb4
1421844c0c
1514867860
hexd480e9c

222826140 has 336 divisors, whose sum is σ = 793255680. Its totient is φ = 52254720.

The previous prime is 222826133. The next prime is 222826141. The reversal of 222826140 is 41628222.

222826140 = T205 + T206 + ... + T1103.

It is a happy number.

222826140 is a `hidden beast` number, since 22 + 28 + 2 + 614 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222826141) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 7187925 + ... + 7187955.

It is an arithmetic number, because the mean of its divisors is an integer number (2360880).

Almost surely, 2222826140 is an apocalyptic number.

222826140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222826140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396627840).

222826140 is an abundant number, since it is smaller than the sum of its proper divisors (570429540).

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

222826140 is a wasteful number, since it uses less digits than its factorization.

222826140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 222826140 is about 14927.3621246354. The cubic root of 222826140 is about 606.2550636910.

The spelling of 222826140 in words is "two hundred twenty-two million, eight hundred twenty-six thousand, one hundred forty".