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2244432 = 2431923107
BaseRepresentation
bin1000100011111101010000
311020000210010
420203331100
51033310212
6120034520
725035351
oct10437520
94200703
102244432
1112a3303
12902a40
13607788
14425d28
152e503c
hex223f50

2244432 has 80 divisors (see below), whose sum is σ = 6428160. Its totient is φ = 671616.

The previous prime is 2244427. The next prime is 2244439. The reversal of 2244432 is 2344422.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2244399 and 2244408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2244439) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20923 + ... + 21029.

It is an arithmetic number, because the mean of its divisors is an integer number (80352).

22244432 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 2244432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3214080).

2244432 is an abundant number, since it is smaller than the sum of its proper divisors (4183728).

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

2244432 is a wasteful number, since it uses less digits than its factorization.

2244432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 154 counting only the distinct ones).

The product of its digits is 1536, while the sum is 21.

The square root of 2244432 is about 1498.1428503317. The cubic root of 2244432 is about 130.9288894017.

Adding to 2244432 its reverse (2344422), we get a palindrome (4588854).

It can be divided in two parts, 224 and 4432, that added together give a triangular number (4656 = T96).

The spelling of 2244432 in words is "two million, two hundred forty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 19 23 24 38 46 48 57 69 76 92 107 114 138 152 184 214 228 276 304 321 368 428 437 456 552 642 856 874 912 1104 1284 1311 1712 1748 2033 2461 2568 2622 3496 4066 4922 5136 5244 6099 6992 7383 8132 9844 10488 12198 14766 16264 19688 20976 24396 29532 32528 39376 46759 48792 59064 93518 97584 118128 140277 187036 280554 374072 561108 748144 1122216 2244432