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2215050032 = 241379163827
BaseRepresentation
bin1000010000000110…
…1111101100110000
312201101000012102002
42010001233230300
514014023100112
61003444113132
7105614420546
oct20401575460
95641005362
102215050032
11a37379968
125199957a8
13293ba09c0
14170277d96
15ce6e11c2
hex8406fb30

2215050032 has 80 divisors (see below), whose sum is σ = 4714698240. Its totient is φ = 1001984256.

The previous prime is 2215050031. The next prime is 2215050107. The reversal of 2215050032 is 2300505122.

It is a junction number, because it is equal to n+sod(n) for n = 2215049986 and 2215050013.

It is not an unprimeable number, because it can be changed into a prime (2215050031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2678003 + ... + 2678829.

It is an arithmetic number, because the mean of its divisors is an integer number (58933728).

Almost surely, 22215050032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2215050032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2357349120).

2215050032 is an abundant number, since it is smaller than the sum of its proper divisors (2499648208).

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

2215050032 is a wasteful number, since it uses less digits than its factorization.

2215050032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1090 (or 1084 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 2215050032 is about 47064.3180339416. The cubic root of 2215050032 is about 1303.5504585396.

Adding to 2215050032 its reverse (2300505122), we get a palindrome (4515555154).

The spelling of 2215050032 in words is "two billion, two hundred fifteen million, fifty thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 52 79 104 158 163 208 316 326 632 652 827 1027 1264 1304 1654 2054 2119 2608 3308 4108 4238 6616 8216 8476 10751 12877 13232 16432 16952 21502 25754 33904 43004 51508 65333 86008 103016 130666 134801 167401 172016 206032 261332 269602 334802 522664 539204 669604 849329 1045328 1078408 1339208 1698658 1752413 2156816 2678416 3397316 3504826 6794632 7009652 10649279 13589264 14019304 21298558 28038608 42597116 85194232 138440627 170388464 276881254 553762508 1107525016 2215050032