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1220331000 = 23353758111
BaseRepresentation
bin100100010111100…
…1100010111111000
310011001021020102110
41020233030113320
54444401043000
6321031532320
742145433220
oct11057142770
93131236373
101220331000
11576932819
122a082a0a0
13165a92465
14b8103080
1572204850
hex48bcc5f8

1220331000 has 128 divisors (see below), whose sum is σ = 4351426560. Its totient is φ = 278928000.

The previous prime is 1220330981. The next prime is 1220331001. The reversal of 1220331000 is 1330221.

It is a happy number.

It is a super-2 number, since 2×12203310002 = 2978415499122000000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1220331001) 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, 8056 + ... + 50055.

It is an arithmetic number, because the mean of its divisors is an integer number (33995520).

Almost surely, 21220331000 is an apocalyptic number.

1220331000 is a gapful number since it is divisible by the number (10) 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 1220331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2175713280).

1220331000 is an abundant number, since it is smaller than the sum of its proper divisors (3131095560).

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

1220331000 is a wasteful number, since it uses less digits than its factorization.

1220331000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58142 (or 58128 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 1220331000 is about 34933.2363230205. The cubic root of 1220331000 is about 1068.6263562034.

Adding to 1220331000 its reverse (1330221), we get a palindrome (1221661221).

The spelling of 1220331000 in words is "one billion, two hundred twenty million, three hundred thirty-one thousand".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 105 120 125 140 150 168 175 200 210 250 280 300 350 375 420 500 525 600 700 750 840 875 1000 1050 1400 1500 1750 2100 2625 3000 3500 4200 5250 7000 10500 21000 58111 116222 174333 232444 290555 348666 406777 464888 581110 697332 813554 871665 1162220 1220331 1394664 1452775 1627108 1743330 2033885 2324440 2440662 2905550 3254216 3486660 4067770 4358325 4881324 5811100 6101655 6973320 7263875 8135540 8716650 9762648 10169425 11622200 12203310 14527750 16271080 17433300 20338850 21791625 24406620 29055500 30508275 34866600 40677700 43583250 48813240 50847125 58111000 61016550 81355400 87166500 101694250 122033100 152541375 174333000 203388500 244066200 305082750 406777000 610165500 1220331000