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3023222000 = 24537320707
BaseRepresentation
bin1011010000110010…
…1011010011110000
321210200201120221012
42310030223103300
522142421101000
61215554050052
7134626651211
oct26414532360
97720646835
103023222000
111311591487
12704579928
13392455376
1420972d408
1512a62e735
hexb432b4f0

3023222000 has 80 divisors (see below), whose sum is σ = 7410647712. Its totient is φ = 1192665600.

The previous prime is 3023221973. The next prime is 3023222003. The reversal of 3023222000 is 2223203.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×30232220002 = 18279742522568000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3023222003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135647 + ... + 156353.

Almost surely, 23023222000 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 3023222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3705323856).

3023222000 is an abundant number, since it is smaller than the sum of its proper divisors (4387425712).

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

3023222000 is a wasteful number, since it uses less digits than its factorization.

3023222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20803 (or 20787 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 3023222000 is about 54983.8339878186. The cubic root of 3023222000 is about 1445.9613339344.

Adding to 3023222000 its reverse (2223203), we get a palindrome (3025445203).

The spelling of 3023222000 in words is "three billion, twenty-three million, two hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 73 80 100 125 146 200 250 292 365 400 500 584 730 1000 1168 1460 1825 2000 2920 3650 5840 7300 9125 14600 18250 20707 29200 36500 41414 73000 82828 103535 146000 165656 207070 331312 414140 517675 828280 1035350 1511611 1656560 2070700 2588375 3023222 4141400 5176750 6046444 7558055 8282800 10353500 12092888 15116110 20707000 24185776 30232220 37790275 41414000 60464440 75580550 120928880 151161100 188951375 302322200 377902750 604644400 755805500 1511611000 3023222000