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2532022472 = 237237317317
BaseRepresentation
bin1001011011101011…
…1001100011001000
320112110110001212002
42112322321203020
520141144204342
61055130010132
7116513556500
oct22672714310
96473401762
102532022472
11108a295a61
125a7b76948
13314761b65
141a03c8a00
15ec453d32
hex96eb98c8

2532022472 has 48 divisors (see below), whose sum is σ = 5537776860. Its totient is φ = 1082180736.

The previous prime is 2532022463. The next prime is 2532022481. The reversal of 2532022472 is 2742202352.

2532022472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2532022463) and next prime (2532022481).

It can be written as a sum of positive squares in 2 ways, for example, as 2416115716 + 115906756 = 49154^2 + 10766^2 .

It is a super-2 number, since 2×25320224722 = 12822275597425981568, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 137558 + ... + 154874.

Almost surely, 22532022472 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 2532022472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2768888430).

2532022472 is an abundant number, since it is smaller than the sum of its proper divisors (3005754388).

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

2532022472 is a wasteful number, since it uses less digits than its factorization.

2532022472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17710 (or 17699 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 29.

The square root of 2532022472 is about 50319.2057965942. The cubic root of 2532022472 is about 1362.9790650700.

The spelling of 2532022472 in words is "two billion, five hundred thirty-two million, twenty-two thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 373 392 746 1492 2611 2984 5222 10444 17317 18277 20888 34634 36554 69268 73108 121219 138536 146216 242438 484876 848533 969752 1697066 3394132 6459241 6788264 12918482 25836964 45214687 51673928 90429374 180858748 316502809 361717496 633005618 1266011236 2532022472