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1221144520 = 235235572383
BaseRepresentation
bin100100011001001…
…0010111111001000
310011002210120100211
41020302102333020
510000103111040
6321101210504
742155362051
oct11062227710
93132716324
101221144520
11577338a52
122a0b60a34
13165cb882b
14b8275728
15723158ea
hex48c92fc8

1221144520 has 64 divisors (see below), whose sum is σ = 2873387520. Its totient is φ = 466185984.

The previous prime is 1221144503. The next prime is 1221144523. The reversal of 1221144520 is 254411221.

It is a junction number, because it is equal to n+sod(n) for n = 1221144491 and 1221144500.

It is not an unprimeable number, because it can be changed into a prime (1221144523) 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, 511249 + ... + 513631.

It is an arithmetic number, because the mean of its divisors is an integer number (44896680).

Almost surely, 21221144520 is an apocalyptic number.

1221144520 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 1221144520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1436693760).

1221144520 is an abundant number, since it is smaller than the sum of its proper divisors (1652243000).

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

1221144520 is a wasteful number, since it uses less digits than its factorization.

1221144520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2974 (or 2970 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 1221144520 is about 34944.8783085590. The cubic root of 1221144520 is about 1068.8637660548.

Adding to 1221144520 its reverse (254411221), we get a palindrome (1475555741).

The spelling of 1221144520 in words is "one billion, two hundred twenty-one million, one hundred forty-four thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 557 920 1114 2228 2383 2785 4456 4766 5570 9532 11140 11915 12811 19064 22280 23830 25622 47660 51244 54809 64055 95320 102488 109618 128110 219236 256220 274045 438472 512440 548090 1096180 1327331 2192360 2654662 5309324 6636655 10618648 13273310 26546620 30528613 53093240 61057226 122114452 152643065 244228904 305286130 610572260 1221144520