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428945220 = 223451124071
BaseRepresentation
bin11001100100010…
…010111101000100
31002220010200020000
4121210102331010
51334302221340
6110321441300
713425655104
oct3144227504
91086120200
10428945220
11200145990
12bb7a0230
136ab37452
1440d7b204
15279ced30
hex19912f44

428945220 has 120 divisors (see below), whose sum is σ = 1468006848. Its totient is φ = 103982400.

The previous prime is 428945213. The next prime is 428945269. The reversal of 428945220 is 22549824.

428945220 is a `hidden beast` number, since 42 + 8 + 94 + 522 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5785 + ... + 29855.

Almost surely, 2428945220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428945220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734003424).

428945220 is an abundant number, since it is smaller than the sum of its proper divisors (1039061628).

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

428945220 is a wasteful number, since it uses less digits than its factorization.

428945220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24103 (or 24092 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 428945220 is about 20710.9927333288. The cubic root of 428945220 is about 754.1665700613.

The spelling of 428945220 in words is "four hundred twenty-eight million, nine hundred forty-five thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 81 90 99 108 110 132 135 162 165 180 198 220 270 297 324 330 396 405 495 540 594 660 810 891 990 1188 1485 1620 1782 1980 2970 3564 4455 5940 8910 17820 24071 48142 72213 96284 120355 144426 216639 240710 264781 288852 361065 433278 481420 529562 649917 722130 794343 866556 1059124 1083195 1299834 1323905 1444260 1588686 1949751 2166390 2383029 2599668 2647810 3177372 3249585 3899502 3971715 4332780 4766058 5295620 6499170 7149087 7799004 7943430 9532116 9748755 11915145 12998340 14298174 15886860 19497510 21447261 23830290 28596348 35745435 38995020 42894522 47660580 71490870 85789044 107236305 142981740 214472610 428945220