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1221303220 = 225233118537
BaseRepresentation
bin100100011001011…
…1001101110110100
310011010002122001121
41020302321232310
510000123200340
6321104433324
742156622534
oct11062715664
93133078047
101221303220
11577437205
122a1018844
13166042b37
14b82b74c4
157234794a
hex48cb9bb4

1221303220 has 48 divisors (see below), whose sum is σ = 2685166848. Its totient is φ = 465724160.

The previous prime is 1221303191. The next prime is 1221303227. The reversal of 1221303220 is 223031221.

It is a junction number, because it is equal to n+sod(n) for n = 1221303194 and 1221303203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1221303227) 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, 138792 + ... + 147328.

It is an arithmetic number, because the mean of its divisors is an integer number (55940976).

Almost surely, 21221303220 is an apocalyptic number.

1221303220 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 1221303220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1342583424).

1221303220 is an abundant number, since it is smaller than the sum of its proper divisors (1463863628).

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

1221303220 is a wasteful number, since it uses less digits than its factorization.

1221303220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8880 (or 8878 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1221303220 is about 34947.1489538131. The cubic root of 1221303220 is about 1068.9100672444.

Adding to 1221303220 its reverse (223031221), we get a palindrome (1444334441).

The spelling of 1221303220 in words is "one billion, two hundred twenty-one million, three hundred three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 311 460 622 1244 1555 3110 6220 7153 8537 14306 17074 28612 34148 35765 42685 71530 85370 143060 170740 196351 392702 785404 981755 1963510 2655007 3927020 5310014 10620028 13275035 26550070 53100140 61065161 122130322 244260644 305325805 610651610 1221303220