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1114225440 = 25353317013
BaseRepresentation
bin100001001101001…
…1011101100100000
32212122121111221220
41002122123230200
54240220203230
6302321415040
736416521446
oct10232335440
92778544856
101114225440
11521a51079
1227119a480
13149ac18c3
14a7da2b96
1567c45d10
hex4269bb20

1114225440 has 96 divisors (see below), whose sum is σ = 3520915776. Its totient is φ = 296186880.

The previous prime is 1114225439. The next prime is 1114225487. The reversal of 1114225440 is 445224111.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×11142254402 = 2482996662286387200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1114225440.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 155374 + ... + 162386.

It is an arithmetic number, because the mean of its divisors is an integer number (36676206).

Almost surely, 21114225440 is an apocalyptic number.

1114225440 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 1114225440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1760457888).

1114225440 is an abundant number, since it is smaller than the sum of its proper divisors (2406690336).

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

1114225440 is a wasteful number, since it uses less digits than its factorization.

1114225440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7362 (or 7354 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 1114225440 is about 33380.0155781869. The cubic root of 1114225440 is about 1036.7109603367.

Adding to 1114225440 its reverse (445224111), we get a palindrome (1559449551).

The spelling of 1114225440 in words is "one billion, one hundred fourteen million, two hundred twenty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 331 480 662 993 1324 1655 1986 2648 3310 3972 4965 5296 6620 7013 7944 9930 10592 13240 14026 15888 19860 21039 26480 28052 31776 35065 39720 42078 52960 56104 70130 79440 84156 105195 112208 140260 158880 168312 210390 224416 280520 336624 420780 561040 673248 841560 1122080 1683120 2321303 3366240 4642606 6963909 9285212 11606515 13927818 18570424 23213030 27855636 34819545 37140848 46426060 55711272 69639090 74281696 92852120 111422544 139278180 185704240 222845088 278556360 371408480 557112720 1114225440