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122886468 = 22323413513
BaseRepresentation
bin1110101001100…
…01100101000100
322120020021112200
413110301211010
5222424331333
620105514500
73021342405
oct724614504
9276207480
10122886468
1163403471
12351a2a30
131c5c79b3
141246b9ac
15abc5c13
hex7531944

122886468 has 18 divisors (see below), whose sum is σ = 310629774. Its totient is φ = 40962144.

The previous prime is 122886461. The next prime is 122886473. The reversal of 122886468 is 864688221.

It can be written as a sum of positive squares in only one way, i.e., 113039424 + 9847044 = 10632^2 + 3138^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is not an unprimeable number, because it can be changed into a prime (122886461) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1706721 + ... + 1706792.

Almost surely, 2122886468 is an apocalyptic number.

122886468 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

122886468 is an abundant number, since it is smaller than the sum of its proper divisors (187743306).

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

122886468 is a wasteful number, since it uses less digits than its factorization.

122886468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3413523 (or 3413518 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The square root of 122886468 is about 11085.4169069097. The cubic root of 122886468 is about 497.1659237075.

The spelling of 122886468 in words is "one hundred twenty-two million, eight hundred eighty-six thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 3413513 6827026 10240539 13654052 20481078 30721617 40962156 61443234 122886468