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1231223840 = 25571137273
BaseRepresentation
bin100100101100010…
…1111110000100000
310011210202122120222
41021120233300200
510010143130330
6322101222212
742340141610
oct11130576040
93153678528
101231223840
11581aa2770
122a4401968
13168107522
14b973aa40
15731570e5
hex4962fc20

1231223840 has 288 divisors, whose sum is σ = 3778233984. Its totient is φ = 368271360.

The previous prime is 1231223839. The next prime is 1231223843. The reversal of 1231223840 is 483221321.

It is not an unprimeable number, because it can be changed into a prime (1231223843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16866044 + ... + 16866116.

It is an arithmetic number, because the mean of its divisors is an integer number (13118868).

Almost surely, 21231223840 is an apocalyptic number.

1231223840 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 1231223840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1889116992).

1231223840 is an abundant number, since it is smaller than the sum of its proper divisors (2547010144).

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

1231223840 is a wasteful number, since it uses less digits than its factorization.

1231223840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 1231223840 is about 35088.7993524999. The cubic root of 1231223840 is about 1071.7965103471.

The spelling of 1231223840 in words is "one billion, two hundred thirty-one million, two hundred twenty-three thousand, eight hundred forty".