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11225104 = 2411234759
BaseRepresentation
bin101010110100…
…100000010000
3210010021221121
4222310200100
510333200404
61040332024
7164261152
oct52644020
923107847
1011225104
116377650
123914014
132430397
1416c2ad2
15ebae54
hexab4810

11225104 has 80 divisors (see below), whose sum is σ = 25712640. Its totient is φ = 4695680.

The previous prime is 11225099. The next prime is 11225129. The reversal of 11225104 is 40152211.

It is a super-4 number, since 4×112251044 (a number of 29 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 190227 + ... + 190285.

It is an arithmetic number, because the mean of its divisors is an integer number (321408).

Almost surely, 211225104 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 11225104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12856320).

11225104 is an abundant number, since it is smaller than the sum of its proper divisors (14487536).

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

11225104 is a wasteful number, since it uses less digits than its factorization.

11225104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 11225104 is about 3350.3886341737. The cubic root of 11225104 is about 223.9048277666.

Adding to 11225104 its reverse (40152211), we get a palindrome (51377315).

It can be divided in two parts, 1122 and 5104, that added together give a palindrome (6226).

The spelling of 11225104 in words is "eleven million, two hundred twenty-five thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 23 44 46 47 59 88 92 94 118 176 184 188 236 253 368 376 472 506 517 649 752 944 1012 1034 1081 1298 1357 2024 2068 2162 2596 2714 2773 4048 4136 4324 5192 5428 5546 8272 8648 10384 10856 11092 11891 14927 17296 21712 22184 23782 29854 30503 44368 47564 59708 61006 63779 95128 119416 122012 127558 190256 238832 244024 255116 488048 510232 701569 1020464 1403138 2806276 5612552 11225104