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2240331100 = 2252723227613
BaseRepresentation
bin1000010110001000…
…1011110101011100
312210010120121111221
42011202023311130
514042011043400
61010150023124
7106342333360
oct20542136534
95703517457
102240331100
11a4a676a07
12526347aa4
132991b2b07
141737792a0
15d1a36c1a
hex8588bd5c

2240331100 has 144 divisors (see below), whose sum is σ = 5832626688. Its totient is φ = 730287360.

The previous prime is 2240331013. The next prime is 2240331127. The reversal of 2240331100 is 11330422.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3654394 + ... + 3655006.

It is an arithmetic number, because the mean of its divisors is an integer number (40504352).

Almost surely, 22240331100 is an apocalyptic number.

2240331100 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 2240331100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2916313344).

2240331100 is an abundant number, since it is smaller than the sum of its proper divisors (3592295588).

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

2240331100 is a wasteful number, since it uses less digits than its factorization.

2240331100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884 (or 877 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2240331100 is about 47332.1360177206. The cubic root of 2240331100 is about 1308.4909881645.

Adding to 2240331100 its reverse (11330422), we get a palindrome (2251661522).

The spelling of 2240331100 in words is "two billion, two hundred forty million, three hundred thirty-one thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 23 25 28 35 46 50 70 92 100 115 140 161 175 227 230 322 350 454 460 575 613 644 700 805 908 1135 1150 1226 1589 1610 2270 2300 2452 3065 3178 3220 4025 4291 4540 5221 5675 6130 6356 7945 8050 8582 10442 11350 12260 14099 15325 15890 16100 17164 20884 21455 22700 26105 28198 30650 31780 36547 39725 42910 52210 56396 61300 70495 73094 79450 85820 98693 104420 107275 130525 139151 140990 146188 158900 182735 197386 214550 261050 278302 281980 352475 365470 394772 429100 493465 522100 556604 695755 704950 730940 913675 974057 986930 1391510 1409900 1827350 1948114 1973860 2467325 2783020 3200473 3478775 3654700 3896228 4870285 4934650 6400946 6957550 9740570 9869300 12801892 13915100 16002365 19481140 22403311 24351425 32004730 44806622 48702850 64009460 80011825 89613244 97405700 112016555 160023650 224033110 320047300 448066220 560082775 1120165550 2240331100