Search a number
-
+
1221504440 = 235134354629
BaseRepresentation
bin100100011001110…
…1010110110111000
310011010110212002012
41020303222312320
510000201120230
6321113025052
742161421302
oct11063526670
93133425065
101221504440
11577564402
122a10b5188
131660b35c0
14b832a972
1572387395
hex48ceadb8

1221504440 has 64 divisors (see below), whose sum is σ = 3028687200. Its totient is φ = 440520192.

The previous prime is 1221504379. The next prime is 1221504491. The reversal of 1221504440 is 444051221.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4955 + ... + 49674.

Almost surely, 21221504440 is an apocalyptic number.

1221504440 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 1221504440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1514343600).

1221504440 is an abundant number, since it is smaller than the sum of its proper divisors (1807182760).

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

1221504440 is a wasteful number, since it uses less digits than its factorization.

1221504440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54696 (or 54692 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

The square root of 1221504440 is about 34950.0277539232. The cubic root of 1221504440 is about 1068.9687680019.

Adding to 1221504440 its reverse (444051221), we get a palindrome (1665555661).

The spelling of 1221504440 in words is "one billion, two hundred twenty-one million, five hundred four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 43 52 65 86 104 130 172 215 260 344 430 520 559 860 1118 1720 2236 2795 4472 5590 11180 22360 54629 109258 218516 273145 437032 546290 710177 1092580 1420354 2185160 2349047 2840708 3550885 4698094 5681416 7101770 9396188 11745235 14203540 18792376 23490470 28407080 30537611 46980940 61075222 93961880 122150444 152688055 244300888 305376110 610752220 1221504440