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1222140330 = 232529468253
BaseRepresentation
bin100100011011000…
…0110000110101010
310011011200011100200
41020312012012222
510000331442310
6321134413030
742200010225
oct11066060652
93134604320
101222140330
11577959134
122a1361176
13166276b78
14b84545bc
15724609c0
hex48d861aa

1222140330 has 48 divisors (see below), whose sum is σ = 3287143080. Its totient is φ = 314665344.

The previous prime is 1222140329. The next prime is 1222140331. The reversal of 1222140330 is 330412221.

1222140330 is a `hidden beast` number, since 12 + 221 + 403 + 30 = 666.

It is an interprime number because it is at equal distance from previous prime (1222140329) and next prime (1222140331).

It can be written as a sum of positive squares in 4 ways, for example, as 1204575849 + 17564481 = 34707^2 + 4191^2 .

It is a super-3 number, since 3×12221403303 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1222140331) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 231517 + ... + 236736.

Almost surely, 21222140330 is an apocalyptic number.

1222140330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1222140330 is an abundant number, since it is smaller than the sum of its proper divisors (2065002750).

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

1222140330 is a wasteful number, since it uses less digits than its factorization.

1222140330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468295 (or 468292 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1222140330 is about 34959.1237018321. The cubic root of 1222140330 is about 1069.1542301822.

Adding to 1222140330 its reverse (330412221), we get a palindrome (1552552551).

The spelling of 1222140330 in words is "one billion, two hundred twenty-two million, one hundred forty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 87 90 145 174 261 290 435 522 870 1305 2610 468253 936506 1404759 2341265 2809518 4214277 4682530 7023795 8428554 13579337 14047590 21071385 27158674 40738011 42142770 67896685 81476022 122214033 135793370 203690055 244428066 407380110 611070165 1222140330