Search a number
-
+
221428080 = 2434534171
BaseRepresentation
bin11010011001010…
…11100101110000
3120102122201020000
431030223211300
5423141144310
633545550000
75326051626
oct1514534560
9512581200
10221428080
11103a99215
12621a5300
1336b4a743
142159d516
151468d4c0
hexd32b970

221428080 has 100 divisors (see below), whose sum is σ = 769075032. Its totient is φ = 59045760.

The previous prime is 221428013. The next prime is 221428127. The reversal of 221428080 is 80824122.

221428080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2214280802 = 98060789224972800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10606 + ... + 23565.

Almost surely, 2221428080 is an apocalyptic number.

221428080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221428080 is an abundant number, since it is smaller than the sum of its proper divisors (547646952).

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

221428080 is a wasteful number, since it uses less digits than its factorization.

221428080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34196 (or 34181 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 221428080 is about 14880.4596703193. The cubic root of 221428080 is about 604.9844769826.

The spelling of 221428080 in words is "two hundred twenty-one million, four hundred twenty-eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 270 324 360 405 432 540 648 720 810 1080 1296 1620 2160 3240 6480 34171 68342 102513 136684 170855 205026 273368 307539 341710 410052 512565 546736 615078 683420 820104 922617 1025130 1230156 1366840 1537695 1640208 1845234 2050260 2460312 2733680 2767851 3075390 3690468 4100520 4613085 4920624 5535702 6150780 7380936 8201040 9226170 11071404 12301560 13839255 14761872 18452340 22142808 24603120 27678510 36904680 44285616 55357020 73809360 110714040 221428080