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4100104224 = 25334745491
BaseRepresentation
bin1111010001100010…
…1010000000100000
3101120202001212122000
43310120222000200
531344111313344
61514503244000
7203414211426
oct36430520040
911522055560
104100104224
111814446a97
12965149600
135045a0798
142ac771116
1518ee4aa69
hexf462a020

4100104224 has 48 divisors (see below), whose sum is σ = 11958639840. Its totient is φ = 1366701120.

The previous prime is 4100104193. The next prime is 4100104249. The reversal of 4100104224 is 4224010014.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 4100104197 and 4100104206.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2371882 + ... + 2373609.

It is an arithmetic number, because the mean of its divisors is an integer number (249138330).

Almost surely, 24100104224 is an apocalyptic number.

It is an amenable number.

4100104224 is an abundant number, since it is smaller than the sum of its proper divisors (7858535616).

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

4100104224 is a wasteful number, since it uses less digits than its factorization.

4100104224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4745510 (or 4745496 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 4100104224 is about 64032.0562218644. The cubic root of 4100104224 is about 1600.5342257736.

Adding to 4100104224 its reverse (4224010014), we get a palindrome (8324114238).

The spelling of 4100104224 in words is "four billion, one hundred million, one hundred four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 4745491 9490982 14236473 18981964 28472946 37963928 42709419 56945892 75927856 85418838 113891784 128128257 151855712 170837676 227783568 256256514 341675352 455567136 512513028 683350704 1025026056 1366701408 2050052112 4100104224