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40222243100 = 225213172997647
BaseRepresentation
bin100101011101011011…
…101011100100011100
310211211011020122201102
4211131123223210130
51124333343234400
630251114132232
72622513265604
oct453533534434
9124734218642
1040222243100
1116070453626
127966421078
133a40126c60
141d37cddc04
1510a62869d5
hex95d6eb91c

40222243100 has 288 divisors, whose sum is σ = 104179582080. Its totient is φ = 13335920640.

The previous prime is 40222243093. The next prime is 40222243109. The reversal of 40222243100 is 134222204.

It is a super-2 number, since 2×402222431002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40222243109) 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, 62166977 + ... + 62167623.

It is an arithmetic number, because the mean of its divisors is an integer number (361734660).

Almost surely, 240222243100 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 40222243100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52089791040).

40222243100 is an abundant number, since it is smaller than the sum of its proper divisors (63957338980).

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

40222243100 is a wasteful number, since it uses less digits than its factorization.

40222243100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 817 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 40222243100 its reverse (134222204), we get a palindrome (40356465304).

The spelling of 40222243100 in words is "forty billion, two hundred twenty-two million, two hundred forty-three thousand, one hundred".