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1228668516 = 2232198392141
BaseRepresentation
bin100100100111011…
…1111111001100100
310011121221211100100
41021032333321210
510004014343031
6321530344100
742306336645
oct11116777144
93147854310
101228668516
11580607929
122a358b030
131677213ba
14b92736cc
1572ceede6
hex493bfe64

1228668516 has 72 divisors (see below), whose sum is σ = 3274689600. Its totient is φ = 387357120.

The previous prime is 1228668479. The next prime is 1228668547. The reversal of 1228668516 is 6158668221.

1228668516 is a `hidden beast` number, since 122 + 8 + 6 + 6 + 8 + 516 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 572806 + ... + 574946.

It is an arithmetic number, because the mean of its divisors is an integer number (45481800).

Almost surely, 21228668516 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 1228668516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1637344800).

1228668516 is an abundant number, since it is smaller than the sum of its proper divisors (2046021084).

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

1228668516 is a wasteful number, since it uses less digits than its factorization.

1228668516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3009 (or 3004 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 1228668516 is about 35052.3681938896. The cubic root of 1228668516 is about 1071.0545157644.

The spelling of 1228668516 in words is "one billion, two hundred twenty-eight million, six hundred sixty-eight thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 684 839 1678 2141 2517 3356 4282 5034 6423 7551 8564 10068 12846 15102 15941 19269 25692 30204 31882 38538 40679 47823 63764 77076 81358 95646 122037 143469 162716 191292 244074 286938 366111 488148 573876 732222 1464444 1796299 3592598 5388897 7185196 10777794 16166691 21555588 32333382 34129681 64666764 68259362 102389043 136518724 204778086 307167129 409556172 614334258 1228668516