Search a number
-
+
1216454268 = 2232335912277
BaseRepresentation
bin100100010000001…
…1001111001111100
310010202222021112210
41020200121321330
54442403014033
6320412500420
742100455621
oct11040317174
93122867483
101216454268
11574725107
1229b47a710
13165035a33
14b77b4348
1571bdad63
hex48819e7c

1216454268 has 48 divisors (see below), whose sum is σ = 2970293760. Its totient is φ = 386743104.

The previous prime is 1216454263. The next prime is 1216454269. The reversal of 1216454268 is 8624546121.

It is a happy number.

It is a super-2 number, since 2×12164542682 = 2959521972270831648, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1216454263) 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, 92946 + ... + 105222.

It is an arithmetic number, because the mean of its divisors is an integer number (61881120).

Almost surely, 21216454268 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 1216454268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1485146880).

1216454268 is an abundant number, since it is smaller than the sum of its proper divisors (1753839492).

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

1216454268 is a wasteful number, since it uses less digits than its factorization.

1216454268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12666 (or 12664 counting only the distinct ones).

The product of its digits is 92160, while the sum is 39.

The square root of 1216454268 is about 34877.7044542785. The cubic root of 1216454268 is about 1067.4935562613.

The spelling of 1216454268 in words is "one billion, two hundred sixteen million, four hundred fifty-four thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 276 359 718 1077 1436 2154 4308 8257 12277 16514 24554 24771 33028 36831 49108 49542 73662 99084 147324 282371 564742 847113 1129484 1694226 3388452 4407443 8814886 13222329 17629772 26444658 52889316 101371189 202742378 304113567 405484756 608227134 1216454268