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2247564540 = 2235139113163
BaseRepresentation
bin1000010111110111…
…0001110011111100
312210122012002221010
42011331301303330
514100334031130
61011005035220
7106460661204
oct20575616374
95718162833
102247564540
11a53767561
12528855b10
1329a846360
141746dd404
15d24b50b0
hex85f71cfc

2247564540 has 96 divisors (see below), whose sum is σ = 6786855936. Its totient is φ = 552464640.

The previous prime is 2247564491. The next prime is 2247564607. The reversal of 2247564540 is 454657422.

It is a super-2 number, since 2×22475645402 = 10103092722930823200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 31 ways as a sum of consecutive naturals, for example, 708999 + ... + 712161.

It is an arithmetic number, because the mean of its divisors is an integer number (70696416).

Almost surely, 22247564540 is an apocalyptic number.

2247564540 is a gapful number since it is divisible by the number (20) 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 2247564540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3393427968).

2247564540 is an abundant number, since it is smaller than the sum of its proper divisors (4539291396).

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

2247564540 is a wasteful number, since it uses less digits than its factorization.

2247564540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4099 (or 4097 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 39.

The square root of 2247564540 is about 47408.4859492475. The cubic root of 2247564540 is about 1309.8977330185.

The spelling of 2247564540 in words is "two billion, two hundred forty-seven million, five hundred sixty-four thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 911 1822 2733 3163 3644 4555 5466 6326 9110 9489 10932 11843 12652 13665 15815 18220 18978 23686 27330 31630 35529 37956 41119 47372 47445 54660 59215 63260 71058 82238 94890 118430 123357 142116 164476 177645 189780 205595 236860 246714 355290 411190 493428 616785 710580 822380 1233570 2467140 2881493 5762986 8644479 11525972 14407465 17288958 28814930 34577916 37459409 43222395 57629860 74918818 86444790 112378227 149837636 172889580 187297045 224756454 374594090 449512908 561891135 749188180 1123782270 2247564540