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33275000 = 2355113
BaseRepresentation
bin111111011101…
…1110001111000
32022121112201102
41332323301320
532004300000
63145110532
7552555443
oct176736170
968545642
1033275000
1117868000
12b188448
136b80865
1445c265a
152dc43d5
hex1fbbc78

33275000 has 96 divisors (see below), whose sum is σ = 85775760. Its totient is φ = 12100000.

The previous prime is 33274981. The next prime is 33275027. The reversal of 33275000 is 57233.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a super-2 number, since 2×332750002 = 2214451250000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3024995 + ... + 3025005.

Almost surely, 233275000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33275000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42887880).

33275000 is an abundant number, since it is smaller than the sum of its proper divisors (52500760).

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

33275000 is an frugal number, since it uses more digits than its factorization.

33275000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 20.

The square root of 33275000 is about 5768.4486649358. The cubic root of 33275000 is about 321.6419512034.

The spelling of 33275000 in words is "thirty-three million, two hundred seventy-five thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 121 125 200 220 242 250 275 440 484 500 550 605 625 968 1000 1100 1210 1250 1331 1375 2200 2420 2500 2662 2750 3025 3125 4840 5000 5324 5500 6050 6250 6655 6875 10648 11000 12100 12500 13310 13750 15125 24200 25000 26620 27500 30250 33275 34375 53240 55000 60500 66550 68750 75625 121000 133100 137500 151250 166375 266200 275000 302500 332750 378125 605000 665500 756250 831875 1331000 1512500 1663750 3025000 3327500 4159375 6655000 8318750 16637500 33275000