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11225400 = 2335253353
BaseRepresentation
bin101010110100…
…100100111000
3210010022100120
4222310210320
510333203100
61040333240
7164262054
oct52644470
923108316
1011225400
11637789a
123914220
132430564
1416c2c64
15ebb0a0
hexab4938

11225400 has 96 divisors (see below), whose sum is σ = 35555760. Its totient is φ = 2928640.

The previous prime is 11225359. The next prime is 11225413. The reversal of 11225400 is 452211.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11225400.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 31624 + ... + 31976.

Almost surely, 211225400 is an apocalyptic number.

11225400 is a gapful number since it is divisible by the number (10) 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 11225400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17777880).

11225400 is an abundant number, since it is smaller than the sum of its proper divisors (24330360).

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

11225400 is a wasteful number, since it uses less digits than its factorization.

11225400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 416 counting only the distinct ones).

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

The square root of 11225400 is about 3350.4328078623. The cubic root of 11225400 is about 223.9067958329.

Adding to 11225400 its reverse (452211), we get a palindrome (11677611).

The spelling of 11225400 in words is "eleven million, two hundred twenty-five thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 53 60 75 100 106 120 150 159 200 212 265 300 318 353 424 530 600 636 706 795 1059 1060 1272 1325 1412 1590 1765 2118 2120 2650 2824 3180 3530 3975 4236 5295 5300 6360 7060 7950 8472 8825 10590 10600 14120 15900 17650 18709 21180 26475 31800 35300 37418 42360 52950 56127 70600 74836 93545 105900 112254 149672 187090 211800 224508 280635 374180 449016 467725 561270 748360 935450 1122540 1403175 1870900 2245080 2806350 3741800 5612700 11225400