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122283720 = 2332513172953
BaseRepresentation
bin1110100100111…
…10011011001000
322112002122201200
413102132123020
5222301034340
620044544200
73013252206
oct722363310
9275078650
10122283720
1163031629
1234b52060
131c446540
1412352076
15ab07330
hex749e6c8

122283720 has 384 divisors, whose sum is σ = 477640800. Its totient is φ = 26836992.

The previous prime is 122283713. The next prime is 122283727. The reversal of 122283720 is 27382221.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (122283713) and next prime (122283727).

It can be written as a sum of positive squares in 16 ways, for example, as 18610596 + 103673124 = 4314^2 + 10182^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122283727) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2307214 + ... + 2307266.

Almost surely, 2122283720 is an apocalyptic number.

122283720 is a gapful number since it is divisible by the number (10) 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 122283720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238820400).

122283720 is an abundant number, since it is smaller than the sum of its proper divisors (355357080).

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

122283720 is a wasteful number, since it uses less digits than its factorization.

122283720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 122283720 is about 11058.1969597218. The cubic root of 122283720 is about 496.3517384523.

The spelling of 122283720 in words is "one hundred twenty-two million, two hundred eighty-three thousand, seven hundred twenty".