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7022440000 = 26544192
BaseRepresentation
bin1101000101001000…
…11110111001000000
3200010101221220200101
412202210132321000
5103340221040000
63120455132144
7336010520002
oct64244367100
920111856611
107022440000
112a83a91124
12143b974054
1387bb61b54
144a891c372
152b179ce6a
hex1a291ee40

7022440000 has 105 divisors (see below), whose sum is σ = 17455027447. Its totient is φ = 2802272000.

The previous prime is 7022439959. The next prime is 7022440001. The reversal of 7022440000 is 442207.

The square root of 7022440000 is 83800.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 550559296 + 6471880704 = 23464^2 + 80448^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 7022440000.

It is not an unprimeable number, because it can be changed into a prime (7022440001) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 16759791 + ... + 16760209.

Almost surely, 27022440000 is an apocalyptic number.

7022440000 is the 83800-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7022440000

7022440000 is an abundant number, since it is smaller than the sum of its proper divisors (10432587447).

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

7022440000 is an frugal number, since it uses more digits than its factorization.

7022440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 19.

The cubic root of 7022440000 is about 1914.9731059902.

Adding to 7022440000 its reverse (442207), we get a palindrome (7022882207).

It can be divided in two parts, 70224 and 40000, that added together give a square (110224 = 3322).

The spelling of 7022440000 in words is "seven billion, twenty-two million, four hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 419 500 625 800 838 1000 1250 1600 1676 2000 2095 2500 3352 4000 4190 5000 6704 8000 8380 10000 10475 13408 16760 20000 20950 26816 33520 40000 41900 52375 67040 83800 104750 134080 167600 175561 209500 261875 335200 351122 419000 523750 670400 702244 838000 877805 1047500 1404488 1676000 1755610 2095000 2808976 3352000 3511220 4190000 4389025 5617952 7022440 8380000 8778050 11235904 14044880 16760000 17556100 21945125 28089760 35112200 43890250 56179520 70224400 87780500 109725625 140448800 175561000 219451250 280897600 351122000 438902500 702244000 877805000 1404488000 1755610000 3511220000 7022440000