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1240144220 = 2257174171179
BaseRepresentation
bin100100111101011…
…0001100101011100
310012102112212001102
41021322301211130
510014434103340
6323020332232
742506023550
oct11172614534
93172485042
101240144220
11587035787
122a73a4078
13169c0b863
14ba9bd860
1573d1a215
hex49eb195c

1240144220 has 192 divisors, whose sum is σ = 3292047360. Its totient is φ = 382771200.

The previous prime is 1240144211. The next prime is 1240144223. The reversal of 1240144220 is 224410421.

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

It is a junction number, because it is equal to n+sod(n) for n = 1240144192 and 1240144201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1240144223) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6928091 + ... + 6928269.

It is an arithmetic number, because the mean of its divisors is an integer number (17146080).

Almost surely, 21240144220 is an apocalyptic number.

1240144220 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 1240144220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1646023680).

1240144220 is an abundant number, since it is smaller than the sum of its proper divisors (2051903140).

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

1240144220 is a wasteful number, since it uses less digits than its factorization.

1240144220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 1240144220 is about 35215.6814501722. The cubic root of 1240144220 is about 1074.3787201518.

Adding to 1240144220 its reverse (224410421), we get a palindrome (1464554641).

The spelling of 1240144220 in words is "one billion, two hundred forty million, one hundred forty-four thousand, two hundred twenty".