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126225700 = 22521996343
BaseRepresentation
bin1111000011000…
…00110100100100
322210111221002221
413201200310210
5224303210300
620305242124
73061620646
oct741406444
9283457087
10126225700
1165284267
1236333344
13201c6883
1412a9a896
15b13531a
hex7860d24

126225700 has 36 divisors (see below), whose sum is σ = 275329600. Its totient is φ = 50228640.

The previous prime is 126225689. The next prime is 126225703. The reversal of 126225700 is 7522621.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (126225703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16729 + ... + 23071.

Almost surely, 2126225700 is an apocalyptic number.

126225700 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 126225700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137664800).

126225700 is an abundant number, since it is smaller than the sum of its proper divisors (149103900).

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

126225700 is a wasteful number, since it uses less digits than its factorization.

126225700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6556 (or 6549 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 126225700 is about 11235.0211392770. The cubic root of 126225700 is about 501.6289539217.

It can be divided in two parts, 1262 and 25700, that added together give a palindrome (26962).

The spelling of 126225700 in words is "one hundred twenty-six million, two hundred twenty-five thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 50 100 199 398 796 995 1990 3980 4975 6343 9950 12686 19900 25372 31715 63430 126860 158575 317150 634300 1262257 2524514 5049028 6311285 12622570 25245140 31556425 63112850 126225700