Search a number
-
+
4200522240 = 2935546943
BaseRepresentation
bin1111101001011110…
…1110001000000000
3101211202000122020210
43322113232020000
532100313202430
61532451434120
7206043564345
oct37227561000
911752018223
104200522240
1118660a3592
129928b5940
1351c32c625
142bbc307cc
15198b842b0
hexfa5ee200

4200522240 has 80 divisors (see below), whose sum is σ = 13428569088. Its totient is φ = 1120137216.

The previous prime is 4200522217. The next prime is 4200522247. The reversal of 4200522240 is 422250024.

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

It is not an unprimeable number, because it can be changed into a prime (4200522247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 265792 + ... + 281151.

Almost surely, 24200522240 is an apocalyptic number.

4200522240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4200522240 is an abundant number, since it is smaller than the sum of its proper divisors (9228046848).

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

4200522240 is an equidigital number, since it uses as much as digits as its factorization.

4200522240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546969 (or 546953 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 21.

The square root of 4200522240 is about 64811.4360279110. The cubic root of 4200522240 is about 1613.4955160289.

Adding to 4200522240 its reverse (422250024), we get a palindrome (4622772264).

The spelling of 4200522240 in words is "four billion, two hundred million, five hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1280 1536 1920 2560 3840 7680 546943 1093886 1640829 2187772 2734715 3281658 4375544 5469430 6563316 8204145 8751088 10938860 13126632 16408290 17502176 21877720 26253264 32816580 35004352 43755440 52506528 65633160 70008704 87510880 105013056 131266320 140017408 175021760 210026112 262532640 280034816 350043520 420052224 525065280 700087040 840104448 1050130560 1400174080 2100261120 4200522240