[go: up one dir, main page]

Search a number
-
+
2244672 = 2634433
BaseRepresentation
bin1000100100000001000000
311020001010000
420210001000
51033312142
6120040000
725036143
oct10440100
94201100
102244672
1112a3501
12903000
13607911
1442605a
152e514c
hex224040

2244672 has 70 divisors (see below), whose sum is σ = 6669278. Its totient is φ = 746496.

The previous prime is 2244667. The next prime is 2244689. The reversal of 2244672 is 2764422.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 1498176 + 746496 = 1224^2 + 864^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4968 + ... + 5400.

22244672 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 2244672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3334639).

2244672 is an abundant number, since it is smaller than the sum of its proper divisors (4424606).

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

2244672 is an equidigital number, since it uses as much as digits as its factorization.

2244672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 438 counting only the distinct ones).

The product of its digits is 5376, while the sum is 27.

The square root of 2244672 is about 1498.2229473613. Note that the first 3 decimals coincide. The cubic root of 2244672 is about 130.9335560336.

It can be divided in two parts, 2244 and 672, that added together give a square (2916 = 542).

The spelling of 2244672 in words is "two million, two hundred forty-four thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 433 576 648 864 866 1296 1299 1728 1732 2592 2598 3464 3897 5184 5196 6928 7794 10392 11691 13856 15588 20784 23382 27712 31176 35073 41568 46764 62352 70146 83136 93528 124704 140292 187056 249408 280584 374112 561168 748224 1122336 2244672