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122200208 = 24133131877
BaseRepresentation
bin1110100100010…
…10000010010000
322111221102011122
413102022002100
5222240401313
620043101412
73012453554
oct722120220
9274842148
10122200208
1162a84909
1234b11868
131c417520
141232d864
15aadc708
hex748a090

122200208 has 40 divisors (see below), whose sum is σ = 255926328. Its totient is φ = 56189952.

The previous prime is 122200189. The next prime is 122200217. The reversal of 122200208 is 802002221.

It can be written as a sum of positive squares in 4 ways, for example, as 1024144 + 121176064 = 1012^2 + 11008^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64166 + ... + 66042.

Almost surely, 2122200208 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 122200208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127963164).

122200208 is an abundant number, since it is smaller than the sum of its proper divisors (133726120).

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

122200208 is a wasteful number, since it uses less digits than its factorization.

122200208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2211 (or 2205 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 122200208 is about 11054.4202923536. The cubic root of 122200208 is about 496.2387205020.

Adding to 122200208 its reverse (802002221), we get a palindrome (924202429).

The spelling of 122200208 in words is "one hundred twenty-two million, two hundred thousand, two hundred eight".

Divisors: 1 2 4 8 13 16 26 52 104 208 313 626 1252 1877 2504 3754 4069 5008 7508 8138 15016 16276 24401 30032 32552 48802 65104 97604 195208 390416 587501 1175002 2350004 4700008 7637513 9400016 15275026 30550052 61100104 122200208