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122266352 = 24133715887
BaseRepresentation
bin1110100100110…
…10001011110000
322112001202220102
413102122023300
5222300010402
620044331532
73013150445
oct722321360
9275052812
10122266352
116301a57a
1234b43ba8
131c43b670
14123499cc
15ab02102
hex749a2f0

122266352 has 40 divisors (see below), whose sum is σ = 262024896. Its totient is φ = 54902016.

The previous prime is 122266351. The next prime is 122266369. The reversal of 122266352 is 253662221.

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122266351) 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, 248 + ... + 15639.

Almost surely, 2122266352 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 122266352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131012448).

122266352 is an abundant number, since it is smaller than the sum of its proper divisors (139758544).

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

122266352 is a wasteful number, since it uses less digits than its factorization.

122266352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15945 (or 15939 counting only the distinct ones).

The product of its digits is 8640, while the sum is 29.

The square root of 122266352 is about 11057.4116320231. The cubic root of 122266352 is about 496.3282383353.

The spelling of 122266352 in words is "one hundred twenty-two million, two hundred sixty-six thousand, three hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 37 52 74 104 148 208 296 481 592 962 1924 3848 7696 15887 31774 63548 127096 206531 254192 413062 587819 826124 1175638 1652248 2351276 3304496 4702552 7641647 9405104 15283294 30566588 61133176 122266352