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11227537240 = 2357312773011
BaseRepresentation
bin10100111010011011…
…01001111101011000
31001222110120222122121
422131031221331120
5140443222142430
65054033031024
7545141330503
oct123515517530
931873528577
1011227537240
1148417199a7
1222140b5474
13109c10397a
147871c013a
1545aa37a7a
hex29d369f58

11227537240 has 64 divisors (see below), whose sum is σ = 25636577760. Its totient is φ = 4424555520.

The previous prime is 11227537229. The next prime is 11227537259. The reversal of 11227537240 is 4273572211.

It is a junction number, because it is equal to n+sod(n) for n = 11227537196 and 11227537205.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3727335 + ... + 3730345.

Almost surely, 211227537240 is an apocalyptic number.

11227537240 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 11227537240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12818288880).

11227537240 is an abundant number, since it is smaller than the sum of its proper divisors (14409040520).

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

11227537240 is a wasteful number, since it uses less digits than its factorization.

11227537240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4372 (or 4368 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 34.

The spelling of 11227537240 in words is "eleven billion, two hundred twenty-seven million, five hundred thirty-seven thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 73 146 292 365 584 730 1277 1460 2554 2920 3011 5108 6022 6385 10216 12044 12770 15055 24088 25540 30110 51080 60220 93221 120440 186442 219803 372884 439606 466105 745768 879212 932210 1099015 1758424 1864420 2198030 3728840 3845047 4396060 7690094 8792120 15380188 19225235 30760376 38450470 76900940 153801880 280688431 561376862 1122753724 1403442155 2245507448 2806884310 5613768620 11227537240