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1122213540 = 2235711872251
BaseRepresentation
bin100001011100011…
…1001111010100100
32220012122100120110
41002320321322210
54244241313130
6303204533020
736544441410
oct10270717244
92805570513
101122213540
11526507708
122739b1170
1314b65a7a6
14a9081d40
15687c2ab0
hex42e39ea4

1122213540 has 96 divisors (see below), whose sum is σ = 3595705344. Its totient is φ = 256176000.

The previous prime is 1122213517. The next prime is 1122213541. The reversal of 1122213540 is 453122211.

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

It is not an unprimeable number, because it can be changed into a prime (1122213541) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 497415 + ... + 499665.

It is an arithmetic number, because the mean of its divisors is an integer number (37455264).

Almost surely, 21122213540 is an apocalyptic number.

1122213540 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 1122213540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1797852672).

1122213540 is an abundant number, since it is smaller than the sum of its proper divisors (2473491804).

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

1122213540 is a wasteful number, since it uses less digits than its factorization.

1122213540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3457 (or 3455 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 1122213540 is about 33499.4558164756. The cubic root of 1122213540 is about 1039.1825245180.

Adding to 1122213540 its reverse (453122211), we get a palindrome (1575335751).

The spelling of 1122213540 in words is "one billion, one hundred twenty-two million, two hundred thirteen thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 1187 2251 2374 3561 4502 4748 5935 6753 7122 8309 9004 11255 11870 13506 14244 15757 16618 17805 22510 23740 24927 27012 31514 33236 33765 35610 41545 45020 47271 49854 63028 67530 71220 78785 83090 94542 99708 124635 135060 157570 166180 189084 236355 249270 315140 472710 498540 945420 2671937 5343874 8015811 10687748 13359685 16031622 18703559 26719370 32063244 37407118 40079055 53438740 56110677 74814236 80158110 93517795 112221354 160316220 187035590 224442708 280553385 374071180 561106770 1122213540