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2251104 = 253131179
BaseRepresentation
bin1000100101100101100000
311020100221020
420211211200
51034013404
6120125440
725063662
oct10454540
94210836
102251104
1112a8319
12906880
1360a81b
14428532
152e6ed9
hex225960

2251104 has 48 divisors (see below), whose sum is σ = 5987520. Its totient is φ = 740480.

The previous prime is 2251103. The next prime is 2251111. The reversal of 2251104 is 4011522.

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

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2251103) 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, 12487 + ... + 12665.

It is an arithmetic number, because the mean of its divisors is an integer number (124740).

22251104 is an apocalyptic number.

2251104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2251104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2993760).

2251104 is an abundant number, since it is smaller than the sum of its proper divisors (3736416).

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

2251104 is a wasteful number, since it uses less digits than its factorization.

2251104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 2251104 is about 1500.3679548697. The cubic root of 2251104 is about 131.0584980468.

Adding to 2251104 its reverse (4011522), we get a palindrome (6262626).

The spelling of 2251104 in words is "two million, two hundred fifty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 131 179 262 358 393 524 537 716 786 1048 1074 1432 1572 2096 2148 2864 3144 4192 4296 5728 6288 8592 12576 17184 23449 46898 70347 93796 140694 187592 281388 375184 562776 750368 1125552 2251104