Search a number
-
+
22321321000 = 2353115338287
BaseRepresentation
bin10100110010011101…
…000101010000101000
32010121121111121000121
4110302131011100220
5331203224233000
614130531213024
71420100045416
oct246235052050
963547447017
1022321321000
119514892930
1243ab447174
1321495a6564
14111a7042b6
158a994eb1a
hex532745428

22321321000 has 128 divisors (see below), whose sum is σ = 58056860160. Its totient is φ = 7963488000.

The previous prime is 22321320913. The next prime is 22321321051. The reversal of 22321321000 is 12312322.

It is a super-3 number, since 3×223213210003 (a number of 32 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 563857 + ... + 602143.

It is an arithmetic number, because the mean of its divisors is an integer number (453569220).

Almost surely, 222321321000 is an apocalyptic number.

22321321000 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 22321321000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29028430080).

22321321000 is an abundant number, since it is smaller than the sum of its proper divisors (35735539160).

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

22321321000 is a wasteful number, since it uses less digits than its factorization.

22321321000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38372 (or 38358 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 22321321000 its reverse (12312322), we get a palindrome (22333633322).

The spelling of 22321321000 in words is "twenty-two billion, three hundred twenty-one million, three hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 53 55 88 100 106 110 125 200 212 220 250 265 275 424 440 500 530 550 583 1000 1060 1100 1166 1325 1375 2120 2200 2332 2650 2750 2915 4664 5300 5500 5830 6625 10600 11000 11660 13250 14575 23320 26500 29150 38287 53000 58300 72875 76574 116600 145750 153148 191435 291500 306296 382870 421157 583000 765740 842314 957175 1531480 1684628 1914350 2029211 2105785 3369256 3828700 4058422 4211570 4785875 7657400 8116844 8423140 9571750 10146055 10528925 16233688 16846280 19143500 20292110 21057850 22321321 38287000 40584220 42115700 44642642 50730275 52644625 81168440 84231400 89285284 101460550 105289250 111606605 178570568 202921100 210578500 223213210 253651375 405842200 421157000 446426420 507302750 558033025 892852840 1014605500 1116066050 2029211000 2232132100 2790165125 4464264200 5580330250 11160660500 22321321000