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2253416 = 231129883
BaseRepresentation
bin1000100110001001101000
311020111002212
420212021220
51034102131
6120144252
725103504
oct10461150
94214085
102253416
1112aa030
12908088
1360b8a9
14429304
152e7a2b
hex226268

2253416 has 32 divisors (see below), whose sum is σ = 4773600. Its totient is φ = 987840.

The previous prime is 2253409. The next prime is 2253439. The reversal of 2253416 is 6143522.

It is a junction number, because it is equal to n+sod(n) for n = 2253391 and 2253400.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2111 + ... + 2993.

It is an arithmetic number, because the mean of its divisors is an integer number (149175).

22253416 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 2253416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2386800).

2253416 is an abundant number, since it is smaller than the sum of its proper divisors (2520184).

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

2253416 is a wasteful number, since it uses less digits than its factorization.

2253416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 929 (or 925 counting only the distinct ones).

The product of its digits is 1440, while the sum is 23.

The square root of 2253416 is about 1501.1382348072. The cubic root of 2253416 is about 131.1033506424.

Adding to 2253416 its reverse (6143522), we get a palindrome (8396938).

The spelling of 2253416 in words is "two million, two hundred fifty-three thousand, four hundred sixteen".

Divisors: 1 2 4 8 11 22 29 44 58 88 116 232 319 638 883 1276 1766 2552 3532 7064 9713 19426 25607 38852 51214 77704 102428 204856 281677 563354 1126708 2253416