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133403220 = 22335232467
BaseRepresentation
bin1111111001110…
…01001001010100
3100022000120211000
413330321021110
5233122400340
621123143300
73206623446
oct774711124
9308016730
10133403220
11693368a5
1238814b30
132183a822
1413a08496
15baa1d30
hex7f39254

133403220 has 144 divisors (see below), whose sum is σ = 434790720. Its totient is φ = 33954624.

The previous prime is 133403201. The next prime is 133403251. The reversal of 133403220 is 22304331.

133403220 is a `hidden beast` number, since 1 + 3 + 340 + 322 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 133403193 and 133403202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 285427 + ... + 285893.

It is an arithmetic number, because the mean of its divisors is an integer number (3019380).

Almost surely, 2133403220 is an apocalyptic number.

133403220 is a gapful number since it is divisible by the number (10) 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 133403220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217395360).

133403220 is an abundant number, since it is smaller than the sum of its proper divisors (301387500).

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

133403220 is a wasteful number, since it uses less digits than its factorization.

133403220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 133403220 is about 11550.0311687891. The cubic root of 133403220 is about 510.9621973585.

Adding to 133403220 its reverse (22304331), we get a palindrome (155707551).

The spelling of 133403220 in words is "one hundred thirty-three million, four hundred three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 27 30 36 45 46 54 60 69 90 92 108 115 135 138 180 207 230 270 276 345 414 460 467 529 540 621 690 828 934 1035 1058 1242 1380 1401 1587 1868 2070 2116 2335 2484 2645 2802 3105 3174 4140 4203 4670 4761 5290 5604 6210 6348 7005 7935 8406 9340 9522 10580 10741 12420 12609 14010 14283 15870 16812 19044 21015 21482 23805 25218 28020 28566 31740 32223 42030 42964 47610 50436 53705 57132 63045 64446 71415 84060 95220 96669 107410 126090 128892 142830 161115 193338 214820 247043 252180 285660 290007 322230 386676 483345 494086 580014 644460 741129 966690 988172 1160028 1235215 1450035 1482258 1933380 2223387 2470430 2900070 2964516 3705645 4446774 4940860 5800140 6670161 7411290 8893548 11116935 13340322 14822580 22233870 26680644 33350805 44467740 66701610 133403220