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2254464 = 273219103
BaseRepresentation
bin1000100110011010000000
311020112112200
420212122000
51034120324
6120153200
725106532
oct10463200
94215480
102254464
1112aa8a3
12908800
1360c204
14429852
152e7ec9
hex226680

2254464 has 96 divisors (see below), whose sum is σ = 6895200. Its totient is φ = 705024.

The previous prime is 2254457. The next prime is 2254477. The reversal of 2254464 is 4644522.

2254464 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21837 + ... + 21939.

It is an arithmetic number, because the mean of its divisors is an integer number (71825).

22254464 is an apocalyptic number.

2254464 is a gapful number since it is divisible by the number (24) 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 2254464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3447600).

2254464 is an abundant number, since it is smaller than the sum of its proper divisors (4640736).

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

2254464 is a wasteful number, since it uses less digits than its factorization.

2254464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 127 counting only the distinct ones).

The product of its digits is 7680, while the sum is 27.

The square root of 2254464 is about 1501.4872626832. The cubic root of 2254464 is about 131.1236716450.

Adding to 2254464 its reverse (4644522), we get a palindrome (6898986).

The spelling of 2254464 in words is "two million, two hundred fifty-four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 103 114 128 144 152 171 192 206 228 288 304 309 342 384 412 456 576 608 618 684 824 912 927 1152 1216 1236 1368 1648 1824 1854 1957 2432 2472 2736 3296 3648 3708 3914 4944 5472 5871 6592 7296 7416 7828 9888 10944 11742 13184 14832 15656 17613 19776 21888 23484 29664 31312 35226 39552 46968 59328 62624 70452 93936 118656 125248 140904 187872 250496 281808 375744 563616 751488 1127232 2254464