Search a number
-
+
8222720 = 21151173
BaseRepresentation
bin11111010111100000000000
3120110202110012
4133113200000
54101111340
6452124052
7126614642
oct37274000
916422405
108222720
114706940
122906628
13191b91c
141140892
15ac6565
hex7d7800

8222720 has 96 divisors (see below), whose sum is σ = 21818160. Its totient is φ = 2949120.

The previous prime is 8222717. The next prime is 8222737. The reversal of 8222720 is 272228.

It is a happy number.

It is a super-2 number, since 2×82227202 = 135226248396800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 112604 + ... + 112676.

Almost surely, 28222720 is an apocalyptic number.

8222720 is a gapful number since it is divisible by the number (80) 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 8222720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10909080).

8222720 is an abundant number, since it is smaller than the sum of its proper divisors (13595440).

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

8222720 is a wasteful number, since it uses less digits than its factorization.

8222720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 23.

The square root of 8222720 is about 2867.5285526041. The cubic root of 8222720 is about 201.8390378675.

Adding to 8222720 its reverse (272228), we get a palindrome (8494948).

The spelling of 8222720 in words is "eight million, two hundred twenty-two thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 73 80 88 110 128 146 160 176 220 256 292 320 352 365 440 512 584 640 704 730 803 880 1024 1168 1280 1408 1460 1606 1760 2048 2336 2560 2816 2920 3212 3520 4015 4672 5120 5632 5840 6424 7040 8030 9344 10240 11264 11680 12848 14080 16060 18688 22528 23360 25696 28160 32120 37376 46720 51392 56320 64240 74752 93440 102784 112640 128480 149504 186880 205568 256960 373760 411136 513920 747520 822272 1027840 1644544 2055680 4111360 8222720