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122152256 = 266167467
BaseRepresentation
bin1110100011111…
…10010101000000
322111211222101122
413101332111000
5222232333011
620042051412
73012164012
oct721762500
9274758348
10122152256
1162a51886
1234aa9b68
131c3cb755
141231a1b2
15aacd3db
hex747e540

122152256 has 56 divisors (see below), whose sum is σ = 250582176. Its totient is φ = 59051520.

The previous prime is 122152253. The next prime is 122152271. The reversal of 122152256 is 652251221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122152253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 261335 + ... + 261801.

Almost surely, 2122152256 is an apocalyptic number.

122152256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122152256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125291088).

122152256 is an abundant number, since it is smaller than the sum of its proper divisors (128429920).

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

122152256 is an equidigital number, since it uses as much as digits as its factorization.

122152256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607 (or 597 counting only the distinct ones).

The product of its digits is 2400, while the sum is 26.

The square root of 122152256 is about 11052.2511734035. The cubic root of 122152256 is about 496.1738031211.

The spelling of 122152256 in words is "one hundred twenty-two million, one hundred fifty-two thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 32 61 64 67 122 134 244 268 467 488 536 934 976 1072 1868 1952 2144 3736 3904 4087 4288 7472 8174 14944 16348 28487 29888 31289 32696 56974 62578 65392 113948 125156 130784 227896 250312 261568 455792 500624 911584 1001248 1823168 1908629 2002496 3817258 7634516 15269032 30538064 61076128 122152256