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11240225400 = 2335221618669
BaseRepresentation
bin10100111011111100…
…00011101001111000
31002000100110121112110
422131332003221320
5141004444203100
65055205012320
7545354224305
oct123576035170
932010417473
1011240225400
1148488a5788
1222183b40a0
1310a1926c61
14788b640ac
1545bbe2250
hex29df83a78

11240225400 has 96 divisors (see below), whose sum is σ = 34864844400. Its totient is φ = 2995660800.

The previous prime is 11240225389. The next prime is 11240225407. The reversal of 11240225400 is 452204211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11240225407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1292266 + ... + 1300934.

Almost surely, 211240225400 is an apocalyptic number.

11240225400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11240225400 is an abundant number, since it is smaller than the sum of its proper divisors (23624619000).

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

11240225400 is a wasteful number, since it uses less digits than its factorization.

11240225400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10849 (or 10840 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

Adding to 11240225400 its reverse (452204211), we get a palindrome (11692429611).

The spelling of 11240225400 in words is "eleven billion, two hundred forty 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 60 75 100 120 150 200 300 600 2161 4322 6483 8644 8669 10805 12966 17288 17338 21610 25932 26007 32415 34676 43220 43345 51864 52014 54025 64830 69352 86440 86690 104028 108050 129660 130035 162075 173380 208056 216100 216725 259320 260070 324150 346760 432200 433450 520140 648300 650175 866900 1040280 1296600 1300350 1733800 2600700 5201400 18733709 37467418 56201127 74934836 93668545 112402254 149869672 187337090 224804508 281005635 374674180 449609016 468342725 562011270 749348360 936685450 1124022540 1405028175 1873370900 2248045080 2810056350 3746741800 5620112700 11240225400