Search a number
-
+
1220314404 = 223236616689
BaseRepresentation
bin100100010111100…
…1000010100100100
310011001020101122210
41020233020110210
54444400030104
6321031323420
742145333641
oct11057102444
93131211583
101220314404
11576921301
122a0820570
13165a87a3a
14b80dadc8
15721ee989
hex48bc8524

1220314404 has 48 divisors (see below), whose sum is σ = 2976140160. Its totient is φ = 388439040.

The previous prime is 1220314379. The next prime is 1220314409. The reversal of 1220314404 is 4044130221.

It is not an unprimeable number, because it can be changed into a prime (1220314409) 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, 179092 + ... + 185780.

It is an arithmetic number, because the mean of its divisors is an integer number (62002920).

Almost surely, 21220314404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1220314404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1488070080).

1220314404 is an abundant number, since it is smaller than the sum of its proper divisors (1755825756).

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

1220314404 is a wasteful number, since it uses less digits than its factorization.

1220314404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7380 (or 7378 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 1220314404 is about 34932.9987833853. The cubic root of 1220314404 is about 1068.6215118883.

Adding to 1220314404 its reverse (4044130221), we get a palindrome (5264444625).

The spelling of 1220314404 in words is "one billion, two hundred twenty million, three hundred fourteen thousand, four hundred four".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 276 661 1322 1983 2644 3966 6689 7932 13378 15203 20067 26756 30406 40134 45609 60812 80268 91218 153847 182436 307694 461541 615388 923082 1846164 4421429 8842858 13264287 17685716 26528574 53057148 101692867 203385734 305078601 406771468 610157202 1220314404