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221423220 = 223451031327
BaseRepresentation
bin11010011001010…
…10011001110100
3120102122110120000
431030222121310
5423141020340
633545511300
75326031514
oct1514523164
9512573500
10221423220
11103a955a7
12621a2530
1336b48475
142159b844
151468bd30
hexd32a674

221423220 has 120 divisors (see below), whose sum is σ = 701885184. Its totient is φ = 58428864.

The previous prime is 221423203. The next prime is 221423243. The reversal of 221423220 is 22324122.

221423220 is a `hidden beast` number, since 2 + 21 + 423 + 220 = 666.

221423220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 221423193 and 221423202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 166197 + ... + 167523.

Almost surely, 2221423220 is an apocalyptic number.

221423220 is a gapful number since it is divisible by the number (20) 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 221423220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350942592).

221423220 is an abundant number, since it is smaller than the sum of its proper divisors (480461964).

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

221423220 is a wasteful number, since it uses less digits than its factorization.

221423220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1451 (or 1440 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 221423220 is about 14880.2963680163. The cubic root of 221423220 is about 604.9800507959.

Adding to 221423220 its reverse (22324122), we get a palindrome (243747342).

The spelling of 221423220 in words is "two hundred twenty-one million, four hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 103 108 135 162 180 206 270 309 324 405 412 515 540 618 810 927 1030 1236 1327 1545 1620 1854 2060 2654 2781 3090 3708 3981 4635 5308 5562 6180 6635 7962 8343 9270 11124 11943 13270 13905 15924 16686 18540 19905 23886 26540 27810 33372 35829 39810 41715 47772 55620 59715 71658 79620 83430 107487 119430 136681 143316 166860 179145 214974 238860 273362 358290 410043 429948 537435 546724 683405 716580 820086 1074870 1230129 1366810 1640172 2050215 2149740 2460258 2733620 3690387 4100430 4920516 6150645 7380774 8200860 11071161 12301290 14761548 18451935 22142322 24602580 36903870 44284644 55355805 73807740 110711610 221423220