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1115225430 = 235114317841
BaseRepresentation
bin100001001111000…
…1111110101010110
32212201111022200120
41002132033311112
54240444203210
6302355052410
736431155044
oct10236176526
92781438616
101115225430
11522574410
122715a1106
1314a081b07
14a8183394
1567d92270
hex4278fd56

1115225430 has 64 divisors (see below), whose sum is σ = 2927010816. Its totient is φ = 269696000.

The previous prime is 1115225429. The next prime is 1115225431. The reversal of 1115225430 is 345225111.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1115225429) and next prime (1115225431).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1115225430.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1115225431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 138310 + ... + 146150.

It is an arithmetic number, because the mean of its divisors is an integer number (45734544).

Almost surely, 21115225430 is an apocalyptic number.

1115225430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1115225430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1463505408).

1115225430 is an abundant number, since it is smaller than the sum of its proper divisors (1811785386).

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

1115225430 is a wasteful number, since it uses less digits than its factorization.

1115225430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8293.

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 1115225430 is about 33394.9910914796. The cubic root of 1115225430 is about 1037.0210084870.

The spelling of 1115225430 in words is "one billion, one hundred fifteen million, two hundred twenty-five thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 431 862 1293 2155 2586 4310 4741 6465 7841 9482 12930 14223 15682 23523 23705 28446 39205 47046 47410 71115 78410 86251 117615 142230 172502 235230 258753 431255 517506 862510 1293765 2587530 3379471 6758942 10138413 16897355 20276826 33794710 37174181 50692065 74348362 101384130 111522543 185870905 223045086 371741810 557612715 1115225430