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120226680 = 2336571931
BaseRepresentation
bin1110010101010…
…00001101111000
322101020011000000
413022220031320
5221234223210
615532513000
72656624050
oct712501570
9271204000
10120226680
11619570a2
123431b760
131bba6162
1411d78560
15a84cac0
hex72a8378

120226680 has 448 divisors, whose sum is σ = 503654400. Its totient is φ = 25194240.

The previous prime is 120226627. The next prime is 120226697. The reversal of 120226680 is 86622021.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 111 ways as a sum of consecutive naturals, for example, 3878265 + ... + 3878295.

Almost surely, 2120226680 is an apocalyptic number.

120226680 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 120226680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251827200).

120226680 is an abundant number, since it is smaller than the sum of its proper divisors (383427720).

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

120226680 is a wasteful number, since it uses less digits than its factorization.

120226680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 120226680 is about 10964.7927476993. The cubic root of 120226680 is about 493.5527978175.

The spelling of 120226680 in words is "one hundred twenty million, two hundred twenty-six thousand, six hundred eighty".