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221350380 = 223519194167
BaseRepresentation
bin11010011000110…
…00100111101100
3120102111202122020
431030120213230
5423131203010
633544150140
75325306246
oct1514304754
9512452566
10221350380
11103a458a9
1262168350
1336b21274
142157d096
1514675470
hexd3189ec

221350380 has 48 divisors (see below), whose sum is σ = 652404480. Its totient is φ = 55919808.

The previous prime is 221350351. The next prime is 221350429. The reversal of 221350380 is 83053122.

221350380 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 2×2213503802 = 97991981452288800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 221350380.

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, 95944 + ... + 98223.

It is an arithmetic number, because the mean of its divisors is an integer number (13591760).

Almost surely, 2221350380 is an apocalyptic number.

221350380 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221350380 is an abundant number, since it is smaller than the sum of its proper divisors (431054100).

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

221350380 is a wasteful number, since it uses less digits than its factorization.

221350380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194198 (or 194196 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 221350380 is about 14877.8486347993. The cubic root of 221350380 is about 604.9137048786.

The spelling of 221350380 in words is "two hundred twenty-one million, three hundred fifty thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1140 194167 388334 582501 776668 970835 1165002 1941670 2330004 2912505 3689173 3883340 5825010 7378346 11067519 11650020 14756692 18445865 22135038 36891730 44270076 55337595 73783460 110675190 221350380