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3113222000 = 24537673319
BaseRepresentation
bin1011100110001111…
…1111111101110000
322000222002001201112
42321203333331300
522333441101000
61232531052452
7140101643660
oct27143777560
98028061645
103113222000
111358372849
1272a741128
133a7ca72c5
1421767a1a0
151334ab235
hexb98fff70

3113222000 has 160 divisors (see below), whose sum is σ = 8734202880. Its totient is φ = 1051142400.

The previous prime is 3113221999. The next prime is 3113222009. The reversal of 3113222000 is 2223113.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3113222009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 936341 + ... + 939659.

It is an arithmetic number, because the mean of its divisors is an integer number (54588768).

Almost surely, 23113222000 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 3113222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4367101440).

3113222000 is an abundant number, since it is smaller than the sum of its proper divisors (5620980880).

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

3113222000 is a wasteful number, since it uses less digits than its factorization.

3113222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3416 (or 3400 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 3113222000 is about 55796.2543545711. The cubic root of 3113222000 is about 1460.1698057331.

Adding to 3113222000 its reverse (2223113), we get a palindrome (3115445113).

The spelling of 3113222000 in words is "three billion, one hundred thirteen million, two hundred twenty-two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 67 70 80 100 112 125 134 140 175 200 250 268 280 335 350 400 469 500 536 560 670 700 875 938 1000 1072 1340 1400 1675 1750 1876 2000 2345 2680 2800 3319 3350 3500 3752 4690 5360 6638 6700 7000 7504 8375 9380 11725 13276 13400 14000 16595 16750 18760 23233 23450 26552 26800 33190 33500 37520 46466 46900 53104 58625 66380 67000 82975 92932 93800 116165 117250 132760 134000 165950 185864 187600 222373 232330 234500 265520 331900 371728 414875 444746 464660 469000 580825 663800 829750 889492 929320 938000 1111865 1161650 1327600 1556611 1659500 1778984 1858640 2223730 2323300 2904125 3113222 3319000 3557968 4447460 4646600 5559325 5808250 6226444 6638000 7783055 8894920 9293200 11118650 11616500 12452888 15566110 17789840 22237300 23233000 24905776 27796625 31132220 38915275 44474600 46466000 55593250 62264440 77830550 88949200 111186500 124528880 155661100 194576375 222373000 311322200 389152750 444746000 622644400 778305500 1556611000 3113222000