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1216122216 = 233374331849
BaseRepresentation
bin100100001111100…
…1000110101101000
310010202100102001120
41020133020311220
54442311402331
6320401415240
742064603551
oct11037106550
93122312046
101216122216
11574518691
1229b33a520
13164c4a85a
14b7729328
1571b72796
hex487c8d68

1216122216 has 64 divisors (see below), whose sum is σ = 3195192000. Its totient is φ = 385233408.

The previous prime is 1216122209. The next prime is 1216122247. The reversal of 1216122216 is 6122216121.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

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, 22260 + ... + 54108.

It is an arithmetic number, because the mean of its divisors is an integer number (49924875).

Almost surely, 21216122216 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 1216122216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1597596000).

1216122216 is an abundant number, since it is smaller than the sum of its proper divisors (1979069784).

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

1216122216 is a wasteful number, since it uses less digits than its factorization.

1216122216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31938 (or 31934 counting only the distinct ones).

The product of its digits is 576, while the sum is 24.

The square root of 1216122216 is about 34872.9438963790. The cubic root of 1216122216 is about 1067.3964172136.

Adding to 1216122216 its reverse (6122216121), we get a palindrome (7338338337).

The spelling of 1216122216 in words is "one billion, two hundred sixteen million, one hundred twenty-two thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 24 37 43 74 86 111 129 148 172 222 258 296 344 444 516 888 1032 1591 3182 4773 6364 9546 12728 19092 31849 38184 63698 95547 127396 191094 254792 382188 764376 1178413 1369507 2356826 2739014 3535239 4108521 4713652 5478028 7070478 8217042 9427304 10956056 14140956 16434084 28281912 32868168 50671759 101343518 152015277 202687036 304030554 405374072 608061108 1216122216