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1223144340 = 22351159101311
BaseRepresentation
bin100100011100111…
…1011001110010100
310011020120011121020
41020321323032110
510001111104330
6321212121140
742211361325
oct11071731624
93136504536
101223144340
115784844a0
122a17661b0
13166538b62
14b863644c
15725ad210
hex48e7b394

1223144340 has 192 divisors, whose sum is σ = 3849431040. Its totient is φ = 287680000.

The previous prime is 1223144333. The next prime is 1223144359. The reversal of 1223144340 is 434413221.

1223144340 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 1223144340.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3932785 + ... + 3933095.

It is an arithmetic number, because the mean of its divisors is an integer number (20049120).

Almost surely, 21223144340 is an apocalyptic number.

1223144340 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 1223144340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1924715520).

1223144340 is an abundant number, since it is smaller than the sum of its proper divisors (2626286700).

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

1223144340 is a wasteful number, since it uses less digits than its factorization.

1223144340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 1223144340 is about 34973.4805245346. The cubic root of 1223144340 is about 1069.4469264451.

Adding to 1223144340 its reverse (434413221), we get a palindrome (1657557561).

The spelling of 1223144340 in words is "one billion, two hundred twenty-three million, one hundred forty-four thousand, three hundred forty".