Search a number
-
+
122270072416 = 257153816053
BaseRepresentation
bin111000111011111011…
…1010011111001100000
3102200121012201020102121
41301313313103321200
54000402114304131
6132100423554024
711555652316222
oct1616767237140
9380535636377
10122270072416
11479442a5128
121b843bbb914
13b6b75b149b
145cbca24412
1532a9414911
hex1c77dd3e60

122270072416 has 24 divisors (see below), whose sum is σ = 244109620944. Its totient is φ = 60273978240.

The previous prime is 122270072389. The next prime is 122270072423. The reversal of 122270072416 is 614270072221.

122270072416 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1222700724162 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 26905755 + ... + 26910298.

It is an arithmetic number, because the mean of its divisors is an integer number (10171234206).

Almost surely, 2122270072416 is an apocalyptic number.

122270072416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

122270072416 is a deficient number, since it is larger than the sum of its proper divisors (121839548528).

122270072416 is an equidigital number, since it uses as much as digits as its factorization.

122270072416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53816134 (or 53816126 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 34.

The spelling of 122270072416 in words is "one hundred twenty-two billion, two hundred seventy million, seventy-two thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 32 71 142 284 568 1136 2272 53816053 107632106 215264212 430528424 861056848 1722113696 3820939763 7641879526 15283759052 30567518104 61135036208 122270072416