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40223103300 = 2232521737411733
BaseRepresentation
bin100101011101011110…
…111101100101000100
310211211012212100200200
4211131132331211010
51124334103301200
630251144410500
72622523510512
oct453536754504
9124735770620
1040223103300
1116070990936
127966776a30
133a40368653
141d380854b2
1510a63a6800
hex95d7bd944

40223103300 has 432 divisors, whose sum is σ = 140526286992. Its totient is φ = 9577267200.

The previous prime is 40223103293. The next prime is 40223103307. The reversal of 40223103300 is 330132204.

40223103300 is a `hidden beast` number, since 4 + 0 + 22 + 310 + 330 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (40223103293) and next prime (40223103307).

It can be written as a sum of positive squares in 24 ways, for example, as 23181889536 + 17041213764 = 152256^2 + 130542^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (40223103307) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 23209234 + ... + 23210966.

It is an arithmetic number, because the mean of its divisors is an integer number (325292331).

Almost surely, 240223103300 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 40223103300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70263143496).

40223103300 is an abundant number, since it is smaller than the sum of its proper divisors (100303183692).

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

40223103300 is a wasteful number, since it uses less digits than its factorization.

40223103300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1848 (or 1838 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 40223103300 its reverse (330132204), we get a palindrome (40553235504).

The spelling of 40223103300 in words is "forty billion, two hundred twenty-three million, one hundred three thousand, three hundred".