Search a number
-
+
2242112240 = 2451031072543
BaseRepresentation
bin1000010110100011…
…1110101011110000
312210020221002210002
42011220332223300
514042440042430
61010252125132
7106363432244
oct20550765360
95706832702
102242112240
11a50683125
12526a667a8
13299687744
14173ac0424
15d1c89845
hex85a3eaf0

2242112240 has 80 divisors (see below), whose sum is σ = 5314802688. Its totient is φ = 879491328.

The previous prime is 2242112239. The next prime is 2242112261. The reversal of 2242112240 is 422112422.

2242112240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 880409 + ... + 882951.

Almost surely, 22242112240 is an apocalyptic number.

2242112240 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 2242112240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2657401344).

2242112240 is an abundant number, since it is smaller than the sum of its proper divisors (3072690448).

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

2242112240 is a wasteful number, since it uses less digits than its factorization.

2242112240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2766 (or 2760 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 2242112240 is about 47350.9476145937. The cubic root of 2242112240 is about 1308.8376613675.

Adding to 2242112240 its reverse (422112422), we get a palindrome (2664224662).

The spelling of 2242112240 in words is "two billion, two hundred forty-two million, one hundred twelve thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 103 107 206 214 412 428 515 535 824 856 1030 1070 1648 1712 2060 2140 2543 4120 4280 5086 8240 8560 10172 11021 12715 20344 22042 25430 40688 44084 50860 55105 88168 101720 110210 176336 203440 220420 261929 272101 440840 523858 544202 881680 1047716 1088404 1309645 1360505 2095432 2176808 2619290 2721010 4190864 4353616 5238580 5442020 10477160 10884040 20954320 21768080 28026403 56052806 112105612 140132015 224211224 280264030 448422448 560528060 1121056120 2242112240