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2552213200 = 245210958537
BaseRepresentation
bin1001100000011111…
…1010111011010000
320120212102212022211
42120013322323100
520211331310300
61101130441504
7120150311545
oct23007727320
96525385284
102552213200
11109a726609
125b2893294
133189b1034
141a2d62bcc
15ee0e14ba
hex981faed0

2552213200 has 60 divisors (see below), whose sum is σ = 6188051980. Its totient is φ = 1011502080.

The previous prime is 2552213197. The next prime is 2552213203. The reversal of 2552213200 is 23122552.

2552213200 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 (2552213197) and next prime (2552213203).

It can be written as a sum of positive squares in 6 ways, for example, as 33779344 + 2518433856 = 5812^2 + 50184^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2552213203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14332 + ... + 72868.

Almost surely, 22552213200 is an apocalyptic number.

2552213200 is a gapful number since it is divisible by the number (20) 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 2552213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3094025990).

2552213200 is an abundant number, since it is smaller than the sum of its proper divisors (3635838780).

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

2552213200 is a wasteful number, since it uses less digits than its factorization.

2552213200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58664 (or 58653 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 2552213200 is about 50519.4338843974. The cubic root of 2552213200 is about 1366.5923444281.

Adding to 2552213200 its reverse (23122552), we get a palindrome (2575335752).

The spelling of 2552213200 in words is "two billion, five hundred fifty-two million, two hundred thirteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 109 200 218 400 436 545 872 1090 1744 2180 2725 4360 5450 8720 10900 21800 43600 58537 117074 234148 292685 468296 585370 936592 1170740 1463425 2341480 2926850 4682960 5853700 6380533 11707400 12761066 23414800 25522132 31902665 51044264 63805330 102088528 127610660 159513325 255221320 319026650 510442640 638053300 1276106600 2552213200