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2248704 = 2123261
BaseRepresentation
bin1000100101000000000000
311020020122100
420211000000
51033424304
6120110400
725053663
oct10450000
94206570
102248704
1112a6537
12905400
136096c3
144276da
152e6439
hex225000

2248704 has 78 divisors (see below), whose sum is σ = 6601946. Its totient is φ = 737280.

The previous prime is 2248703. The next prime is 2248723. The reversal of 2248704 is 4078422.

It can be written as a sum of positive squares in only one way, i.e., 1327104 + 921600 = 1152^2 + 960^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2248703) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 36834 + ... + 36894.

22248704 is an apocalyptic number.

2248704 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 2248704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3300973).

2248704 is an abundant number, since it is smaller than the sum of its proper divisors (4353242).

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

2248704 is an equidigital number, since it uses as much as digits as its factorization.

2248704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 2248704 is about 1499.5679377741. The cubic root of 2248704 is about 131.0119057610.

The spelling of 2248704 in words is "two million, two hundred forty-eight thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 61 64 72 96 122 128 144 183 192 244 256 288 366 384 488 512 549 576 732 768 976 1024 1098 1152 1464 1536 1952 2048 2196 2304 2928 3072 3904 4096 4392 4608 5856 6144 7808 8784 9216 11712 12288 15616 17568 18432 23424 31232 35136 36864 46848 62464 70272 93696 124928 140544 187392 249856 281088 374784 562176 749568 1124352 2248704