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2021428224 = 2103424371
BaseRepresentation
bin111100001111100…
…1000110000000000
312012212200012020000
41320133020300000
513114441200344
6532330120000
7101043566514
oct17037106000
95185605200
102021428224
11948052a42
12484b80000
13262a3a89a
14152676144
15bc6e6a69
hex787c8c00

2021428224 has 110 divisors (see below), whose sum is σ = 6036627564. Its totient is φ = 673781760.

The previous prime is 2021428219. The next prime is 2021428273. The reversal of 2021428224 is 4228241202.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 70759 + ... + 95129.

Almost surely, 22021428224 is an apocalyptic number.

2021428224 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 2021428224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3018313782).

2021428224 is an abundant number, since it is smaller than the sum of its proper divisors (4015199340).

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

2021428224 is an equidigital number, since it uses as much as digits as its factorization.

2021428224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24403 (or 24376 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 2021428224 is about 44960.2960844343. The cubic root of 2021428224 is about 1264.4047200491.

Adding to 2021428224 its reverse (4228241202), we get a palindrome (6249669426).

The spelling of 2021428224 in words is "two billion, twenty-one million, four hundred twenty-eight thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1024 1152 1296 1536 1728 2304 2592 3072 3456 4608 5184 6912 9216 10368 13824 20736 24371 27648 41472 48742 73113 82944 97484 146226 194968 219339 292452 389936 438678 584904 658017 779872 877356 1169808 1316034 1559744 1754712 1974051 2339616 2632068 3119488 3509424 3948102 4679232 5264136 6238976 7018848 7896204 9358464 10528272 12477952 14037696 15792408 18716928 21056544 24955904 28075392 31584816 37433856 42113088 56150784 63169632 74867712 84226176 112301568 126339264 168452352 224603136 252678528 336904704 505357056 673809408 1010714112 2021428224