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11221420224 = 263721192753
BaseRepresentation
bin10100111001101100…
…10100100011000000
31001222001002012200110
422130312110203000
5140440140421344
65053253551320
7545035332600
oct123466244300
931861065613
1011221420224
114839221113
122212045540
13109aa71631
1478646ac00
1545a22a3b9
hex29cd948c0

11221420224 has 84 divisors (see below), whose sum is σ = 34537384824. Its totient is φ = 3206117376.

The previous prime is 11221420219. The next prime is 11221420229. The reversal of 11221420224 is 42202412211.

It is an interprime number because it is at equal distance from previous prime (11221420219) and next prime (11221420229).

It is a tau number, because it is divible by the number of its divisors (84).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 11221420224.

It is not an unprimeable number, because it can be changed into a prime (11221420229) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 586969 + ... + 605784.

Almost surely, 211221420224 is an apocalyptic number.

11221420224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11221420224 is an abundant number, since it is smaller than the sum of its proper divisors (23315964600).

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

11221420224 is a wasteful number, since it uses less digits than its factorization.

11221420224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1192782 (or 1192765 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 11221420224 its reverse (42202412211), we get a palindrome (53423832435).

The spelling of 11221420224 in words is "eleven billion, two hundred twenty-one million, four hundred twenty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 147 168 192 196 224 294 336 392 448 588 672 784 1176 1344 1568 2352 3136 4704 9408 1192753 2385506 3578259 4771012 7156518 8349271 9542024 14313036 16698542 19084048 25047813 28626072 33397084 38168096 50095626 57252144 58444897 66794168 76336192 100191252 114504288 116889794 133588336 175334691 200382504 229008576 233779588 267176672 350669382 400765008 467559176 534353344 701338764 801530016 935118352 1402677528 1603060032 1870236704 2805355056 3740473408 5610710112 11221420224