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1200313220 = 2251719712617
BaseRepresentation
bin100011110001011…
…0101001110000100
310002122121020012012
41013202311032010
54424240010340
6315034513352
741513331311
oct10742651604
93078536165
101200313220
115666000a7
12295b95858
131618a3c12
14b55b1d08
157059d565
hex478b5384

1200313220 has 96 divisors (see below), whose sum is σ = 2850059520. Its totient is φ = 421908480.

The previous prime is 1200313193. The next prime is 1200313321. The reversal of 1200313220 is 223130021.

It is a happy number.

It is a super-2 number, since 2×12003132202 = 2881503652213536800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1200313195 and 1200313204.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 457352 + ... + 459968.

It is an arithmetic number, because the mean of its divisors is an integer number (29688120).

Almost surely, 21200313220 is an apocalyptic number.

1200313220 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 1200313220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1425029760).

1200313220 is an abundant number, since it is smaller than the sum of its proper divisors (1649746300).

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

1200313220 is a wasteful number, since it uses less digits than its factorization.

1200313220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2733 (or 2731 counting only the distinct ones).

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

The square root of 1200313220 is about 34645.5367976887. The cubic root of 1200313220 is about 1062.7510183387.

Adding to 1200313220 its reverse (223130021), we get a palindrome (1423443241).

The spelling of 1200313220 in words is "one billion, two hundred million, three hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 19 20 34 38 68 71 76 85 95 142 170 190 284 323 340 355 380 646 710 1207 1292 1349 1420 1615 2414 2617 2698 3230 4828 5234 5396 6035 6460 6745 10468 12070 13085 13490 22933 24140 26170 26980 44489 45866 49723 52340 88978 91732 99446 114665 177956 185807 198892 222445 229330 248615 371614 444890 458660 497230 743228 845291 889780 929035 994460 1690582 1858070 3158719 3381164 3530333 3716140 4226455 6317438 7060666 8452910 12634876 14121332 15793595 16905820 17651665 31587190 35303330 60015661 63174380 70606660 120031322 240062644 300078305 600156610 1200313220