Search a number
-
+
402221100 = 223526720011
BaseRepresentation
bin10111111110010…
…110100000101100
31001000211221121210
4113332112200230
51310432033400
6103524554420
712652552161
oct2776264054
91030757553
10402221100
11197052736
12b2852a10
136543b568
143b5c2068
15254a1950
hex17f9682c

402221100 has 72 divisors (see below), whose sum is σ = 1181188288. Its totient is φ = 105652800.

The previous prime is 402221093. The next prime is 402221119. The reversal of 402221100 is 1122204.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10095 + ... + 30105.

Almost surely, 2402221100 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 402221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590594144).

402221100 is an abundant number, since it is smaller than the sum of its proper divisors (778967188).

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

402221100 is a wasteful number, since it uses less digits than its factorization.

402221100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20095 (or 20088 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 402221100 is about 20055.4506306889. The cubic root of 402221100 is about 738.1675503273.

Adding to 402221100 its reverse (1122204), we get a palindrome (403343304).

The spelling of 402221100 in words is "four hundred two million, two hundred twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 67 75 100 134 150 201 268 300 335 402 670 804 1005 1340 1675 2010 3350 4020 5025 6700 10050 20011 20100 40022 60033 80044 100055 120066 200110 240132 300165 400220 500275 600330 1000550 1200660 1340737 1500825 2001100 2681474 3001650 4022211 5362948 6003300 6703685 8044422 13407370 16088844 20111055 26814740 33518425 40222110 67036850 80444220 100555275 134073700 201110550 402221100