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2274464 = 251737113
BaseRepresentation
bin1000101011010010100000
311021112222102
420223102200
51040240324
6120425532
725222043
oct10532240
94245872
102274464
111313925
129182a8
1361834a
14432c5a
152eddae
hex22b4a0

2274464 has 48 divisors (see below), whose sum is σ = 4912488. Its totient is φ = 1032192.

The previous prime is 2274463. The next prime is 2274469. The reversal of 2274464 is 4644722.

2274464 = T17 + T18 + ... + T238.

It can be written as a sum of positive squares in 4 ways, for example, as 2016400 + 258064 = 1420^2 + 508^2 .

It is not an unprimeable number, because it can be changed into a prime (2274463) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20072 + ... + 20184.

22274464 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 2274464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2456244).

2274464 is an abundant number, since it is smaller than the sum of its proper divisors (2638024).

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

2274464 is a wasteful number, since it uses less digits than its factorization.

2274464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 169 counting only the distinct ones).

The product of its digits is 10752, while the sum is 29.

The square root of 2274464 is about 1508.1326201631. The cubic root of 2274464 is about 131.5102759587.

The spelling of 2274464 in words is "two million, two hundred seventy-four thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 17 32 34 37 68 74 113 136 148 226 272 296 452 544 592 629 904 1184 1258 1808 1921 2516 3616 3842 4181 5032 7684 8362 10064 15368 16724 20128 30736 33448 61472 66896 71077 133792 142154 284308 568616 1137232 2274464