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3223022112 = 2532171813637
BaseRepresentation
bin1100000000011011…
…0110101000100000
322022121200111011100
43000012312220200
523100043201422
61251452314400
7142604143632
oct30006665040
98277614140
103223022112
111404348242
1275b472a00
133c496c69b
1422809ca52
1513ce497ac
hexc01b6a20

3223022112 has 144 divisors (see below), whose sum is σ = 9760914072. Its totient is φ = 1005281280.

The previous prime is 3223022093. The next prime is 3223022113. The reversal of 3223022112 is 2112203223.

It can be written as a sum of positive squares in 4 ways, for example, as 1259114256 + 1963907856 = 35484^2 + 44316^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (3223022113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 884358 + ... + 887994.

Almost surely, 23223022112 is an apocalyptic number.

3223022112 is a gapful number since it is divisible by the number (32) 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 3223022112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4880457036).

3223022112 is an abundant number, since it is smaller than the sum of its proper divisors (6537891960).

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

3223022112 is a wasteful number, since it uses less digits than its factorization.

3223022112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3851 (or 3840 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3223022112 is about 56771.6664543150. Note that the first 3 decimals coincide. The cubic root of 3223022112 is about 1477.1380827411.

Adding to 3223022112 its reverse (2112203223), we get a palindrome (5335225335).

The spelling of 3223022112 in words is "three billion, two hundred twenty-three million, twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 181 204 272 288 306 362 408 543 544 612 724 816 1086 1224 1448 1629 1632 2172 2448 2896 3077 3258 3637 4344 4896 5792 6154 6516 7274 8688 9231 10911 12308 13032 14548 17376 18462 21822 24616 26064 27693 29096 32733 36924 43644 49232 52128 55386 58192 61829 65466 73848 87288 98464 110772 116384 123658 130932 147696 174576 185487 221544 247316 261864 295392 349152 370974 443088 494632 523728 556461 658297 741948 886176 989264 1047456 1112922 1316594 1483896 1974891 1978528 2225844 2633188 2967792 3949782 4451688 5266376 5924673 5935584 7899564 8903376 10532752 11191049 11849346 15799128 17806752 21065504 22382098 23698692 31598256 33573147 44764196 47397384 63196512 67146294 89528392 94794768 100719441 134292588 179056784 189589536 201438882 268585176 358113568 402877764 537170352 805755528 1074340704 1611511056 3223022112