Search a number
-
+
2411224020 = 2232531601719
BaseRepresentation
bin1000111110111000…
…0101101111010100
320020001010212112100
42033232011233110
514414233132040
61035132522100
7113516031432
oct21756055724
96201125470
102411224020
111028089327
12573620330
132c571869a
1418c341d52
15e1a41b30
hex8fb85bd4

2411224020 has 144 divisors (see below), whose sum is σ = 7573063680. Its totient is φ = 620352000.

The previous prime is 2411224007. The next prime is 2411224027. The reversal of 2411224020 is 204221142.

2411224020 is a `hidden beast` number, since 241 + 1 + 22 + 402 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2411223984 and 2411224002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2411224027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3353221 + ... + 3353939.

It is an arithmetic number, because the mean of its divisors is an integer number (52590720).

Almost surely, 22411224020 is an apocalyptic number.

2411224020 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 2411224020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3786531840).

2411224020 is an abundant number, since it is smaller than the sum of its proper divisors (5161839660).

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

2411224020 is a wasteful number, since it uses less digits than its factorization.

2411224020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1366 (or 1361 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2411224020 is about 49104.2159086162. The cubic root of 2411224020 is about 1340.9498018502.

Adding to 2411224020 its reverse (204221142), we get a palindrome (2615445162).

The spelling of 2411224020 in words is "two billion, four hundred eleven million, two hundred twenty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 155 180 186 279 310 372 465 558 601 620 719 930 1116 1202 1395 1438 1803 1860 2157 2404 2790 2876 3005 3595 3606 4314 5409 5580 6010 6471 7190 7212 8628 9015 10785 10818 12020 12942 14380 18030 18631 21570 21636 22289 25884 27045 32355 36060 37262 43140 44578 54090 55893 64710 66867 74524 89156 93155 108180 111445 111786 129420 133734 167679 186310 200601 222890 223572 267468 279465 334335 335358 372620 401202 432119 445780 558930 668670 670716 802404 838395 864238 1003005 1117860 1296357 1337340 1676790 1728476 2006010 2160595 2592714 3353580 3889071 4012020 4321190 5185428 6481785 7778142 8642380 12963570 13395689 15556284 19445355 25927140 26791378 38890710 40187067 53582756 66978445 77781420 80374134 120561201 133956890 160748268 200935335 241122402 267913780 401870670 482244804 602806005 803741340 1205612010 2411224020