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3022221000 = 233533132497
BaseRepresentation
bin1011010000100011…
…0110111011001000
321210121211201211010
42310020312323020
522142142033000
61215520403520
7134615311641
oct26410667310
97717751733
103022221000
111310a68407
127041765a0
13392194866
1420954c6c8
1512a4d2d50
hexb4236ec8

3022221000 has 128 divisors (see below), whose sum is σ = 9733800960. Its totient is φ = 779904000.

The previous prime is 3022220947. The next prime is 3022221001. The reversal of 3022221000 is 1222203.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (3022221001) 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, 76752 + ... + 109248.

It is an arithmetic number, because the mean of its divisors is an integer number (76045320).

Almost surely, 23022221000 is an apocalyptic number.

3022221000 is a gapful number since it is divisible by the number (30) 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 3022221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4866900480).

3022221000 is an abundant number, since it is smaller than the sum of its proper divisors (6711579960).

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

3022221000 is a wasteful number, since it uses less digits than its factorization.

3022221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32552 (or 32538 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 3022221000 is about 54974.7305586849. The cubic root of 3022221000 is about 1445.8017286003.

Adding to 3022221000 its reverse (1222203), we get a palindrome (3023443203).

The spelling of 3022221000 in words is "three billion, twenty-two million, two hundred twenty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 31 40 50 60 62 75 93 100 120 124 125 150 155 186 200 248 250 300 310 372 375 465 500 600 620 744 750 775 930 1000 1240 1500 1550 1860 2325 3000 3100 3720 3875 4650 6200 7750 9300 11625 15500 18600 23250 31000 32497 46500 64994 93000 97491 129988 162485 194982 259976 324970 389964 487455 649940 779928 812425 974910 1007407 1299880 1624850 1949820 2014814 2437275 3022221 3249700 3899640 4029628 4062125 4874550 5037035 6044442 6499400 8059256 8124250 9749100 10074070 12088884 12186375 15111105 16248500 19498200 20148140 24177768 24372750 25185175 30222210 32497000 40296280 48745500 50370350 60444420 75555525 97491000 100740700 120888840 125925875 151111050 201481400 251851750 302222100 377777625 503703500 604444200 755555250 1007407000 1511110500 3022221000