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2021980224 = 263112933013
BaseRepresentation
bin111100010000100…
…1111100001000000
312012220201020102110
41320201033201000
513120111331344
6532350015320
7101051356035
oct17041174100
95186636373
102021980224
1194839a740
124851a7540
13262ba1c04
1415277b38c
15bc7a53b9
hex7884f840

2021980224 has 112 divisors (see below), whose sum is σ = 6037600320. Its totient is φ = 591575040.

The previous prime is 2021980189. The next prime is 2021980277. The reversal of 2021980224 is 4220891202.

It is a junction number, because it is equal to n+sod(n) for n = 2021980191 and 2021980200.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44742 + ... + 77754.

Almost surely, 22021980224 is an apocalyptic number.

2021980224 is a gapful number since it is divisible by the number (24) 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 2021980224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3018800160).

2021980224 is an abundant number, since it is smaller than the sum of its proper divisors (4015620096).

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

2021980224 is a wasteful number, since it uses less digits than its factorization.

2021980224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33068 (or 33058 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 2021980224 is about 44966.4344150167. The cubic root of 2021980224 is about 1264.5198016987.

The spelling of 2021980224 in words is "two billion, twenty-one million, nine hundred eighty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 29 32 33 44 48 58 64 66 87 88 96 116 132 174 176 192 232 264 319 348 352 464 528 638 696 704 928 957 1056 1276 1392 1856 1914 2112 2552 2784 3828 5104 5568 7656 10208 15312 20416 30624 33013 61248 66026 99039 132052 198078 264104 363143 396156 528208 726286 792312 957377 1056416 1089429 1452572 1584624 1914754 2112832 2178858 2872131 2905144 3169248 3829508 4357716 5744262 5810288 6338496 7659016 8715432 10531147 11488524 11620576 15318032 17430864 21062294 22977048 23241152 30636064 31593441 34861728 42124588 45954096 61272128 63186882 69723456 84249176 91908192 126373764 168498352 183816384 252747528 336996704 505495056 673993408 1010990112 2021980224