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2267120020 = 2251117359567
BaseRepresentation
bin1000011100100001…
…1000000110010100
312211222222122000011
42013020120012110
514120340320040
61012544130004
7110116126234
oct20710300624
95758878004
102267120020
11a63803910
12533306904
132a1902349
1417714dcc4
15d40793ea
hex87218194

2267120020 has 48 divisors (see below), whose sum is σ = 5223875328. Its totient is φ = 819628160.

The previous prime is 2267119991. The next prime is 2267120021. The reversal of 2267120020 is 200217622.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 2267119973 and 2267120000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2267120021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8277 + ... + 67843.

It is an arithmetic number, because the mean of its divisors is an integer number (108830736).

Almost surely, 22267120020 is an apocalyptic number.

2267120020 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 2267120020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2611937664).

2267120020 is an abundant number, since it is smaller than the sum of its proper divisors (2956755308).

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

2267120020 is a wasteful number, since it uses less digits than its factorization.

2267120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59760 (or 59758 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 2267120020 is about 47614.2837812352. The cubic root of 2267120020 is about 1313.6857954146.

Adding to 2267120020 its reverse (200217622), we get a palindrome (2467337642).

The spelling of 2267120020 in words is "two billion, two hundred sixty-seven million, one hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 173 220 346 692 865 1730 1903 3460 3806 7612 9515 19030 38060 59567 119134 238268 297835 595670 655237 1191340 1310474 2620948 3276185 6552370 10305091 13104740 20610182 41220364 51525455 103050910 113356001 206101820 226712002 453424004 566780005 1133560010 2267120020