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2052022432 = 25316133911
BaseRepresentation
bin111101001001111…
…0110000010100000
312022000020112120211
41322103312002200
513200304204212
6535341543504
7101564621455
oct17223660240
95260215524
102052022432
11963349909
12493274b94
13269190175
1415675b82c
15c023b9a7
hex7a4f60a0

2052022432 has 48 divisors (see below), whose sum is σ = 4238728704. Its totient is φ = 976608000.

The previous prime is 2052022421. The next prime is 2052022433. The reversal of 2052022432 is 2342202502.

It is a happy number.

It is a super-2 number, since 2×20520224322 = 8421592122862389248, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2052022433) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43557 + ... + 77467.

It is an arithmetic number, because the mean of its divisors is an integer number (88306848).

Almost surely, 22052022432 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 2052022432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2119364352).

2052022432 is an abundant number, since it is smaller than the sum of its proper divisors (2186706272).

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

2052022432 is a wasteful number, since it uses less digits than its factorization.

2052022432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34013 (or 34005 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

The square root of 2052022432 is about 45299.2542101964. The cubic root of 2052022432 is about 1270.7517057662.

Adding to 2052022432 its reverse (2342202502), we get a palindrome (4394224934).

The spelling of 2052022432 in words is "two billion, fifty-two million, twenty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 31 32 61 62 122 124 244 248 488 496 976 992 1891 1952 3782 7564 15128 30256 33911 60512 67822 135644 271288 542576 1051241 1085152 2068571 2102482 4137142 4204964 8274284 8409928 16548568 16819856 33097136 33639712 64125701 66194272 128251402 256502804 513005608 1026011216 2052022432