Search a number
-
+
221402000 = 2453313571
BaseRepresentation
bin11010011001001…
…01001110010000
3120102121101110002
431030211032100
5423134331000
633545225132
75325612611
oct1514451620
9512541402
10221402000
11103a80666
12621921a8
1336b3b901
1421593c08
15146858d5
hexd325390

221402000 has 80 divisors (see below), whose sum is σ = 552774144. Its totient is φ = 85680000.

The previous prime is 221401997. The next prime is 221402023. The reversal of 221402000 is 204122.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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, 60215 + ... + 63785.

Almost surely, 2221402000 is an apocalyptic number.

221402000 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 221402000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276387072).

221402000 is an abundant number, since it is smaller than the sum of its proper divisors (331372144).

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

221402000 is a wasteful number, since it uses less digits than its factorization.

221402000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3625 (or 3609 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 221402000 is about 14879.5833274995. The cubic root of 221402000 is about 604.9607241766.

Adding to 221402000 its reverse (204122), we get a palindrome (221606122).

The spelling of 221402000 in words is "two hundred twenty-one million, four hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 31 40 50 62 80 100 124 125 155 200 248 250 310 400 496 500 620 775 1000 1240 1550 2000 2480 3100 3571 3875 6200 7142 7750 12400 14284 15500 17855 28568 31000 35710 57136 62000 71420 89275 110701 142840 178550 221402 285680 357100 442804 446375 553505 714200 885608 892750 1107010 1428400 1771216 1785500 2214020 2767525 3571000 4428040 5535050 7142000 8856080 11070100 13837625 22140200 27675250 44280400 55350500 110701000 221402000