Search a number
-
+
3221125350 = 235253419967
BaseRepresentation
bin1011111111111110…
…0111100011100110
322022111010010021220
42333333213203212
523044102002400
61251343521210
7142552054002
oct27777474346
98274103256
103221125350
111403272173
1275a8b9206
133c4457241
14227b27702
1513cbc27a0
hexbffe78e6

3221125350 has 96 divisors (see below), whose sum is σ = 8166977280. Its totient is φ = 839879040.

The previous prime is 3221125301. The next prime is 3221125351. The reversal of 3221125350 is 535211223.

It is a happy number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 3221125350.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3221125351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3330567 + ... + 3331533.

It is an arithmetic number, because the mean of its divisors is an integer number (85072680).

Almost surely, 23221125350 is an apocalyptic number.

3221125350 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 3221125350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4083488640).

3221125350 is an abundant number, since it is smaller than the sum of its proper divisors (4945851930).

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

3221125350 is a wasteful number, since it uses less digits than its factorization.

3221125350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1454 (or 1449 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 3221125350 is about 56754.9588141864. The cubic root of 3221125350 is about 1476.8482585651.

Adding to 3221125350 its reverse (535211223), we get a palindrome (3756336573).

The spelling of 3221125350 in words is "three billion, two hundred twenty-one million, one hundred twenty-five thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 53 75 106 150 159 265 318 419 530 795 838 967 1257 1325 1590 1934 2095 2514 2650 2901 3975 4190 4835 5802 6285 7950 9670 10475 12570 14505 20950 22207 24175 29010 31425 44414 48350 51251 62850 66621 72525 102502 111035 133242 145050 153753 222070 256255 307506 333105 405173 512510 555175 666210 768765 810346 1110350 1215519 1281275 1537530 1665525 2025865 2431038 2562550 3331050 3843825 4051730 6077595 7687650 10129325 12155190 20258650 21474169 30387975 42948338 60775950 64422507 107370845 128845014 214741690 322112535 536854225 644225070 1073708450 1610562675 3221125350