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322275272 = 231125772
BaseRepresentation
bin10011001101011…
…000011111001000
3211110102021120012
4103031120133020
51130000302042
651551251052
710662203024
oct2315303710
9743367505
10322275272
11155a09200
128bb19a88
13519c9a37
1430b31384
151d45de82
hex133587c8

322275272 has 36 divisors (see below), whose sum is σ = 665346465. Its totient is φ = 146234880.

The previous prime is 322275271. The next prime is 322275277. The reversal of 322275272 is 272572223.

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 187854436 + 134420836 = 13706^2 + 11594^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=12694.

It is a super-2 number, since 2×3222752722 = 207722701885347968, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (322275271) 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, 558248 + ... + 558824.

Almost surely, 2322275272 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 322275272

322275272 is an abundant number, since it is smaller than the sum of its proper divisors (343071193).

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

322275272 is an equidigital number, since it uses as much as digits as its factorization.

322275272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1182 (or 590 counting only the distinct ones).

The product of its digits is 23520, while the sum is 32.

The square root of 322275272 is about 17952.0269607641. The cubic root of 322275272 is about 685.6076601241.

Multiplying 322275272 by its sum of digits (32), we get a square (10312808704 = 1015522).

The spelling of 322275272 in words is "three hundred twenty-two million, two hundred seventy-five thousand, two hundred seventy-two".

Divisors: 1 2 4 8 11 22 44 88 121 242 484 577 968 1154 2308 4616 6347 12694 25388 50776 69817 139634 279268 332929 558536 665858 1331716 2663432 3662219 7324438 14648876 29297752 40284409 80568818 161137636 322275272