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3225213450 = 234521316079
BaseRepresentation
bin1100000000111100…
…1101101000001010
322022202210211010000
43000033031220022
523101123312300
61252011303430
7142631601444
oct30017155012
98282724100
103225213450
111405604668
1276014ab76
133c5258c34
142284ad494
1513d22dc00
hexc03cda0a

3225213450 has 120 divisors (see below), whose sum is σ = 9031207680. Its totient is φ = 853351200.

The previous prime is 3225213449. The next prime is 3225213457. The reversal of 3225213450 is 543125223.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (3225213457) 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 59 ways as a sum of consecutive naturals, for example, 527511 + ... + 533589.

It is an arithmetic number, because the mean of its divisors is an integer number (75260064).

Almost surely, 23225213450 is an apocalyptic number.

3225213450 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3225213450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4515603840).

3225213450 is an abundant number, since it is smaller than the sum of its proper divisors (5805994230).

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

3225213450 is a wasteful number, since it uses less digits than its factorization.

3225213450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6234 (or 6220 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 3225213450 is about 56790.9627493671. The cubic root of 3225213450 is about 1477.4727764316.

Adding to 3225213450 its reverse (543125223), we get a palindrome (3768338673).

The spelling of 3225213450 in words is "three billion, two hundred twenty-five million, two hundred thirteen thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 81 90 131 135 150 162 225 262 270 393 405 450 655 675 786 810 1179 1310 1350 1965 2025 2358 3275 3537 3930 4050 5895 6079 6550 7074 9825 10611 11790 12158 17685 18237 19650 21222 29475 30395 35370 36474 53055 54711 58950 60790 88425 91185 106110 109422 151975 164133 176850 182370 265275 273555 303950 328266 455925 492399 530550 547110 796349 820665 911850 984798 1367775 1592698 1641330 2389047 2461995 2735550 3981745 4103325 4778094 4923990 7167141 7963490 8206650 11945235 12309975 14334282 19908725 21501423 23890470 24619950 35835705 39817450 43002846 59726175 64504269 71671410 107507115 119452350 129008538 179178525 215014230 322521345 358357050 537535575 645042690 1075071150 1612606725 3225213450