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2231654432 = 257211932
BaseRepresentation
bin1000010100000100…
…0101100000100000
312202112020210100212
42011001011200200
514032300420212
61005240033252
7106205515100
oct20501054040
95675223325
102231654432
11a45790007
12523462828
132974656a7
1417255b200
15d0dc0e22
hex85045820

2231654432 has 54 divisors (see below), whose sum is σ = 5115174813. Its totient is φ = 955621632.

The previous prime is 2231654431. The next prime is 2231654461. The reversal of 2231654432 is 2344561322.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 2231239696 + 414736 = 47236^2 + 644^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=33404.

It is a super-3 number, since 3×22316544323 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (2231654431) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1870028 + ... + 1871220.

Almost surely, 22231654432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2231654432

2231654432 is an abundant number, since it is smaller than the sum of its proper divisors (2883520381).

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

2231654432 is an frugal number, since it uses more digits than its factorization.

2231654432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2410 (or 1202 counting only the distinct ones).

The product of its digits is 34560, while the sum is 32.

The square root of 2231654432 is about 47240.3898375109. The cubic root of 2231654432 is about 1306.7995669812.

Multiplying 2231654432 by its sum of digits (32), we get a square (71412941824 = 2672322).

2231654432 divided by its sum of digits (32) gives a square (69739201 = 83512).

The spelling of 2231654432 in words is "two billion, two hundred thirty-one million, six hundred fifty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 1193 1568 2386 4772 8351 9544 16702 19088 33404 38176 58457 66808 116914 133616 233828 267232 467656 935312 1423249 1870624 2846498 5692996 9962743 11385992 19925486 22771984 39850972 45543968 69739201 79701944 139478402 159403888 278956804 318807776 557913608 1115827216 2231654432