Search a number
-
+
122221290280 = 2354174525177
BaseRepresentation
bin111000111010011110…
…1001110001100101000
3102200110210220211220211
41301310331032030220
54000302122242110
6132051522230504
711554520553235
oct1616475161450
9380423824824
10122221290280
1147919806411
121b82b7b5434
13b6aa46150b
145cb636678c
1532a4eca98a
hex1c74f4e328

122221290280 has 32 divisors (see below), whose sum is σ = 281705172840. Its totient is φ = 47696112640.

The previous prime is 122221290211. The next prime is 122221290281. The reversal of 122221290280 is 82092122221.

It can be written as a sum of positive squares in 4 ways, for example, as 105182165124 + 17039125156 = 324318^2 + 130534^2 .

It is not an unprimeable number, because it can be changed into a prime (122221290281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37260949 + ... + 37264228.

Almost surely, 2122221290280 is an apocalyptic number.

122221290280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122221290280 is an abundant number, since it is smaller than the sum of its proper divisors (159483882560).

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

122221290280 is a wasteful number, since it uses less digits than its factorization.

122221290280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74525229 (or 74525225 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The spelling of 122221290280 in words is "one hundred twenty-two billion, two hundred twenty-one million, two hundred ninety thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 328 410 820 1640 74525177 149050354 298100708 372625885 596201416 745251770 1490503540 2981007080 3055532257 6111064514 12222129028 15277661285 24444258056 30555322570 61110645140 122221290280