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2241033432 = 23311171941641
BaseRepresentation
bin1000010110010011…
…0111010011011000
312210011220021221020
42011210313103120
514042201032212
61010213042440
7106351320111
oct20544672330
95704807836
102241033432
11a50006650
12526626420
1329939a6b1
141738bd208
15d1b24d8c
hex859374d8

2241033432 has 256 divisors, whose sum is σ = 6989068800. Its totient is φ = 589824000.

The previous prime is 2241033419. The next prime is 2241033437. The reversal of 2241033432 is 2343301422.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2241033437) 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, 3495832 + ... + 3496472.

It is an arithmetic number, because the mean of its divisors is an integer number (27301050).

Almost surely, 22241033432 is an apocalyptic number.

2241033432 is a gapful number since it is divisible by the number (22) 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 2241033432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3494534400).

2241033432 is an abundant number, since it is smaller than the sum of its proper divisors (4748035368).

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

2241033432 is a wasteful number, since it uses less digits than its factorization.

2241033432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 2241033432 is about 47339.5546240139. The cubic root of 2241033432 is about 1308.6277088894.

Adding to 2241033432 its reverse (2343301422), we get a palindrome (4584334854).

The spelling of 2241033432 in words is "two billion, two hundred forty-one million, thirty-three thousand, four hundred thirty-two".