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2246640 = 2435112337
BaseRepresentation
bin1000100100011111110000
311020010210220
420210133300
51033343030
6120053040
725044654
oct10443760
94203726
102246640
1112a4a30
12904180
13608796
14426a64
152e5a10
hex2247f0

2246640 has 160 divisors (see below), whose sum is σ = 8142336. Its totient is φ = 506880.

The previous prime is 2246633. The next prime is 2246641. The reversal of 2246640 is 466422.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2246640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2246641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60702 + ... + 60738.

22246640 is an apocalyptic number.

2246640 is a gapful number since it is divisible by the number (20) 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 2246640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4071168).

2246640 is an abundant number, since it is smaller than the sum of its proper divisors (5895696).

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

2246640 is a wasteful number, since it uses less digits than its factorization.

2246640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 2246640 is about 1498.8795815542. The cubic root of 2246640 is about 130.9718098734.

It can be divided in two parts, 2 and 246640, that added together give a palindrome (246642).

The spelling of 2246640 in words is "two million, two hundred forty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 23 24 30 33 37 40 44 46 48 55 60 66 69 74 80 88 92 110 111 115 120 132 138 148 165 176 184 185 220 222 230 240 253 264 276 296 330 345 368 370 407 440 444 460 506 528 552 555 592 660 690 740 759 814 851 880 888 920 1012 1104 1110 1221 1265 1320 1380 1480 1518 1628 1702 1776 1840 2024 2035 2220 2442 2530 2553 2640 2760 2960 3036 3256 3404 3795 4048 4070 4255 4440 4884 5060 5106 5520 6072 6105 6512 6808 7590 8140 8510 8880 9361 9768 10120 10212 12144 12210 12765 13616 15180 16280 17020 18722 19536 20240 20424 24420 25530 28083 30360 32560 34040 37444 40848 46805 48840 51060 56166 60720 68080 74888 93610 97680 102120 112332 140415 149776 187220 204240 224664 280830 374440 449328 561660 748880 1123320 2246640