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11222310240 = 253457997113
BaseRepresentation
bin10100111001110011…
…01101110101100000
31001222002202102120000
422130321231311200
5140440402411430
65053325020000
7545046030441
oct123471556540
931862672500
1011222310240
114839779869
1222123b4600
13109acc377b
1478661d2c8
1545a353e60
hex29ce6dd60

11222310240 has 480 divisors, whose sum is σ = 40878794880. Its totient is φ = 2898395136.

The previous prime is 11222310223. The next prime is 11222310257. The reversal of 11222310240 is 4201322211.

It is a happy number.

11222310240 is a `hidden beast` number, since 112 + 2 + 2 + 310 + 240 = 666.

It is an interprime number because it is at equal distance from previous prime (11222310223) and next prime (11222310257).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 99312424 + ... + 99312536.

It is an arithmetic number, because the mean of its divisors is an integer number (85164156).

Almost surely, 211222310240 is an apocalyptic number.

11222310240 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 11222310240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20439397440).

11222310240 is an abundant number, since it is smaller than the sum of its proper divisors (29656484640).

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

11222310240 is a wasteful number, since it uses less digits than its factorization.

11222310240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 11222310240 its reverse (4201322211), we get a palindrome (15423632451).

The spelling of 11222310240 in words is "eleven billion, two hundred twenty-two million, three hundred ten thousand, two hundred forty".