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2244996 = 223413241
BaseRepresentation
bin1000100100000110000100
311020001120000
420210012010
51033314441
6120041300
725040115
oct10440604
94201500
102244996
1112a3776
12903230
13607b00
1442620c
152e52b6
hex224184

2244996 has 90 divisors (see below), whose sum is σ = 6510042. Its totient is φ = 673920.

The previous prime is 2244973. The next prime is 2245013. The reversal of 2244996 is 6994422.

It can be written as a sum of positive squares in 3 ways, for example, as 171396 + 2073600 = 414^2 + 1440^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a d-powerful number, because it can be written as 2 + 215 + 43 + 45 + 92 + 96 + 68 .

It is a self number, because there is not a number n which added to its sum of digits gives 2244996.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 54736 + ... + 54776.

22244996 is an apocalyptic number.

2244996 is a gapful number since it is divisible by the number (26) 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 2244996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3255021).

2244996 is an abundant number, since it is smaller than the sum of its proper divisors (4265046).

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

2244996 is a wasteful number, since it uses less digits than its factorization.

2244996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 59 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 2244996 is about 1498.3310715593. The cubic root of 2244996 is about 130.9398554589.

It can be divided in two parts, 2244 and 996, that added together give a triangular number (3240 = T80).

The spelling of 2244996 in words is "two million, two hundred forty-four thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 41 52 54 78 81 82 108 117 123 156 162 164 169 234 246 324 338 351 369 468 492 507 533 676 702 738 1014 1053 1066 1107 1404 1476 1521 1599 2028 2106 2132 2214 3042 3198 3321 4212 4428 4563 4797 6084 6396 6642 6929 9126 9594 13284 13689 13858 14391 18252 19188 20787 27378 27716 28782 41574 43173 54756 57564 62361 83148 86346 124722 172692 187083 249444 374166 561249 748332 1122498 2244996