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133222590 = 2335598363
BaseRepresentation
bin1111111000011…
…01000010111110
3100021200102001000
413330031002332
5233101110330
621115231130
73205242024
oct774150276
9307612030
10133222590
1169223116
12387484a6
13217a6547
141399c714
15ba68560
hex7f0d0be

133222590 has 64 divisors (see below), whose sum is σ = 361324800. Its totient is φ = 34919712.

The previous prime is 133222589. The next prime is 133222603. The reversal of 133222590 is 95222331.

It is a super-3 number, since 3×1332225903 (a number of 25 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11749 + ... + 20111.

It is an arithmetic number, because the mean of its divisors is an integer number (5645700).

Almost surely, 2133222590 is an apocalyptic number.

133222590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 133222590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180662400).

133222590 is an abundant number, since it is smaller than the sum of its proper divisors (228102210).

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

133222590 is a wasteful number, since it uses less digits than its factorization.

133222590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8438 (or 8432 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 133222590 is about 11542.2090606608. The cubic root of 133222590 is about 510.7314763174.

The spelling of 133222590 in words is "one hundred thirty-three million, two hundred twenty-two thousand, five hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 59 90 118 135 177 270 295 354 531 590 885 1062 1593 1770 2655 3186 5310 7965 8363 15930 16726 25089 41815 50178 75267 83630 125445 150534 225801 250890 376335 451602 493417 752670 986834 1129005 1480251 2258010 2467085 2960502 4440753 4934170 7401255 8881506 13322259 14802510 22203765 26644518 44407530 66611295 133222590