Search a number
-
+
88840200 = 23352197793
BaseRepresentation
bin1010100101110…
…01100000001000
320012011112211210
411102321200020
5140220341300
612452053120
72126062221
oct522714010
9205145753
1088840200
1146169a59
12259041a0
1315537087
14bb28248
157bed050
hex54b9808

88840200 has 96 divisors (see below), whose sum is σ = 289936800. Its totient is φ = 22440960.

The previous prime is 88840189. The next prime is 88840211. The reversal of 88840200 is 204888.

It is an interprime number because it is at equal distance from previous prime (88840189) and next prime (88840211).

It is a super-2 number, since 2×888402002 = 15785162272080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 7504 + ... + 15296.

It is an arithmetic number, because the mean of its divisors is an integer number (3020175).

Almost surely, 288840200 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 88840200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144968400).

88840200 is an abundant number, since it is smaller than the sum of its proper divisors (201096600).

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

88840200 is a wasteful number, since it uses less digits than its factorization.

88840200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7831 (or 7822 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 88840200 is about 9425.5079438723. The cubic root of 88840200 is about 446.2071336395.

The spelling of 88840200 in words is "eighty-eight million, eight hundred forty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 25 30 38 40 50 57 60 75 76 95 100 114 120 150 152 190 200 228 285 300 380 456 475 570 600 760 950 1140 1425 1900 2280 2850 3800 5700 7793 11400 15586 23379 31172 38965 46758 62344 77930 93516 116895 148067 155860 187032 194825 233790 296134 311720 389650 444201 467580 584475 592268 740335 779300 888402 935160 1168950 1184536 1480670 1558600 1776804 2221005 2337900 2961340 3553608 3701675 4442010 4675800 5922680 7403350 8884020 11105025 14806700 17768040 22210050 29613400 44420100 88840200