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2244034100 = 22527112312671
BaseRepresentation
bin1000010111000001…
…0011111000110100
312210101112202002002
42011300103320310
514043433042400
61010401234432
7106415655320
oct20560237064
95711482062
102244034100
11a51776040
12527632a18
13299bab439
14174060980
15d2018ed5
hex85c13e34

2244034100 has 144 divisors (see below), whose sum is σ = 6335594496. Its totient is φ = 668976000.

The previous prime is 2244034097. The next prime is 2244034109. The reversal of 2244034100 is 14304422.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2244034109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 170765 + ... + 183435.

It is an arithmetic number, because the mean of its divisors is an integer number (43997184).

Almost surely, 22244034100 is an apocalyptic number.

2244034100 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 2244034100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3167797248).

2244034100 is an abundant number, since it is smaller than the sum of its proper divisors (4091560396).

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

2244034100 is a wasteful number, since it uses less digits than its factorization.

2244034100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12726 (or 12719 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2244034100 is about 47371.2370537228. The cubic root of 2244034100 is about 1309.2115178200.

Adding to 2244034100 its reverse (14304422), we get a palindrome (2258338522).

The spelling of 2244034100 in words is "two billion, two hundred forty-four million, thirty-four thousand, one hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 23 25 28 35 44 46 50 55 70 77 92 100 110 115 140 154 161 175 220 230 253 275 308 322 350 385 460 506 550 575 644 700 770 805 1012 1100 1150 1265 1540 1610 1771 1925 2300 2530 3220 3542 3850 4025 5060 6325 7084 7700 8050 8855 12650 12671 16100 17710 25300 25342 35420 44275 50684 63355 88550 88697 126710 139381 177100 177394 253420 278762 291433 316775 354788 443485 557524 582866 633550 696905 886970 975667 1165732 1267100 1393810 1457165 1773940 1951334 2040031 2217425 2787620 2914330 3205763 3484525 3902668 4080062 4434850 4878335 5828660 6411526 6969050 7285825 8160124 8869700 9756670 10200155 12823052 13938100 14571650 16028815 19513340 20400310 22440341 24391675 29143300 32057630 40800620 44880682 48783350 51000775 64115260 80144075 89761364 97566700 102001550 112201705 160288150 204003100 224403410 320576300 448806820 561008525 1122017050 2244034100