Search a number
-
+
133222404 = 223717293217
BaseRepresentation
bin1111111000011…
…01000000000100
3100021200101210010
413330031000010
5233101104104
621115230220
73205241340
oct774150004
9307611703
10133222404
1169222a67
1238748370
13217a6433
141399c620
15ba68489
hex7f0d004

133222404 has 96 divisors (see below), whose sum is σ = 389249280. Its totient is φ = 34578432.

The previous prime is 133222403. The next prime is 133222429. The reversal of 133222404 is 404222331.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (133222403) 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 31 ways as a sum of consecutive naturals, for example, 39804 + ... + 43020.

It is an arithmetic number, because the mean of its divisors is an integer number (4054680).

Almost surely, 2133222404 is an apocalyptic number.

133222404 is a gapful number since it is divisible by the number (14) 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 133222404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194624640).

133222404 is an abundant number, since it is smaller than the sum of its proper divisors (256026876).

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

133222404 is a wasteful number, since it uses less digits than its factorization.

133222404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3277 (or 3275 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 133222404 is about 11542.2010032749. The cubic root of 133222404 is about 510.7312386298.

Adding to 133222404 its reverse (404222331), we get a palindrome (537444735).

The spelling of 133222404 in words is "one hundred thirty-three million, two hundred twenty-two thousand, four hundred four".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 29 34 42 51 58 68 84 87 102 116 119 174 203 204 238 348 357 406 476 493 609 714 812 986 1218 1428 1479 1972 2436 2958 3217 3451 5916 6434 6902 9651 10353 12868 13804 19302 20706 22519 38604 41412 45038 54689 67557 90076 93293 109378 135114 164067 186586 218756 270228 279879 328134 373172 382823 559758 653051 656268 765646 1119516 1148469 1306102 1531292 1585981 1959153 2296938 2612204 3171962 3918306 4593876 4757943 6343924 7836612 9515886 11101867 19031772 22203734 33305601 44407468 66611202 133222404