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1332240224 = 257217234153
BaseRepresentation
bin100111101101000…
…0101111101100000
310102211211211000112
41033122011331200
510212023141344
6340110310452
745004566200
oct11732057540
93384754015
101332240224
11624018887
123121b8428
13183015833
14c8d14400
157be5cc9e
hex4f685f60

1332240224 has 288 divisors, whose sum is σ = 3518375616. Its totient is φ = 492011520.

The previous prime is 1332240211. The next prime is 1332240269. The reversal of 1332240224 is 4220422331.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a self number, because there is not a number n which added to its sum of digits gives 1332240224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25136582 + ... + 25136634.

It is an arithmetic number, because the mean of its divisors is an integer number (12216582).

Almost surely, 21332240224 is an apocalyptic number.

1332240224 is a gapful number since it is divisible by the number (14) 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 1332240224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1759187808).

1332240224 is an abundant number, since it is smaller than the sum of its proper divisors (2186135392).

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

1332240224 is a wasteful number, since it uses less digits than its factorization.

1332240224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 1332240224 is about 36499.8660819461. The cubic root of 1332240224 is about 1100.3415534397.

Adding to 1332240224 its reverse (4220422331), we get a palindrome (5552662555).

It can be divided in two parts, 133 and 2240224, that multiplied together give a palindrome (297949792).

The spelling of 1332240224 in words is "one billion, three hundred thirty-two million, two hundred forty thousand, two hundred twenty-four".