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2187253420 = 2251128135381
BaseRepresentation
bin1000001001011110…
…1101011010101100
312122102200222121221
42002113231122230
513434414102140
61001012233124
7105126230062
oct20227553254
95572628557
102187253420
11a22713960
1251060b7a4
1328b1ba8c1
1416a6c0032
15cc05014a
hex825ed6ac

2187253420 has 48 divisors (see below), whose sum is σ = 5028772896. Its totient is φ = 792512000.

The previous prime is 2187253339. The next prime is 2187253423. The reversal of 2187253420 is 243527812.

It is a happy number.

2187253420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×21872534204 (a number of 38 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (2187253423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44130 + ... + 79510.

It is an arithmetic number, because the mean of its divisors is an integer number (104766102).

Almost surely, 22187253420 is an apocalyptic number.

2187253420 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 2187253420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2514386448).

2187253420 is an abundant number, since it is smaller than the sum of its proper divisors (2841519476).

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

2187253420 is a wasteful number, since it uses less digits than its factorization.

2187253420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35682 (or 35680 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

The square root of 2187253420 is about 46768.0812093034. The cubic root of 2187253420 is about 1298.0747478130.

The spelling of 2187253420 in words is "two billion, one hundred eighty-seven million, two hundred fifty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 281 562 1124 1405 2810 3091 5620 6182 12364 15455 30910 35381 61820 70762 141524 176905 353810 389191 707620 778382 1556764 1945955 3891910 7783820 9942061 19884122 39768244 49710305 99420610 109362671 198841220 218725342 437450684 546813355 1093626710 2187253420