Search a number
-
+
122550000 = 243551943
BaseRepresentation
bin1110100110111…
…11011011110000
322112121011222220
413103133123300
5222333100000
620054401040
73015441426
oct723373360
9275534886
10122550000
11631a36a1
1235060180
131c50a7c1
14123c1116
15ab5b1a0
hex74df6f0

122550000 has 240 divisors, whose sum is σ = 426222720. Its totient is φ = 30240000.

The previous prime is 122549953. The next prime is 122550053. The reversal of 122550000 is 55221.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2849979 + ... + 2850021.

It is an arithmetic number, because the mean of its divisors is an integer number (1775928).

Almost surely, 2122550000 is an apocalyptic number.

122550000 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 122550000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213111360).

122550000 is an abundant number, since it is smaller than the sum of its proper divisors (303672720).

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

122550000 is an equidigital number, since it uses as much as digits as its factorization.

122550000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 122550000 is about 11070.2303499069. The cubic root of 122550000 is about 496.7117556371.

The spelling of 122550000 in words is "one hundred twenty-two million, five hundred fifty thousand".