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2252140 = 2251129353
BaseRepresentation
bin1000100101110101101100
311020102100121
420211311230
51034032030
6120134324
725100002
oct10456554
94212317
102252140
1112a9080
129073a4
1360b137
14428a72
152e747a
hex225d6c

2252140 has 48 divisors (see below), whose sum is σ = 5352480. Its totient is φ = 788480.

The previous prime is 2252113. The next prime is 2252149. The reversal of 2252140 is 412522.

2252140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2252149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6204 + ... + 6556.

It is an arithmetic number, because the mean of its divisors is an integer number (111510).

22252140 is an apocalyptic number.

2252140 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 2252140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2676240).

2252140 is an abundant number, since it is smaller than the sum of its proper divisors (3100340).

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

2252140 is a wasteful number, since it uses less digits than its factorization.

2252140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 2252140 is about 1500.7131637991. The cubic root of 2252140 is about 131.0786001509.

Adding to 2252140 its reverse (412522), we get a palindrome (2664662).

The spelling of 2252140 in words is "two million, two hundred fifty-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 110 116 145 220 290 319 353 580 638 706 1276 1412 1595 1765 3190 3530 3883 6380 7060 7766 10237 15532 19415 20474 38830 40948 51185 77660 102370 112607 204740 225214 450428 563035 1126070 2252140