Search a number
-
+
222644645000 = 235466732
BaseRepresentation
bin1100111101011010100…
…1111010110010001000
3210021200111011211122222
43033112221322302020
512121434012120000
6250140451233212
722041225154121
oct3172651726210
9707614154588
10222644645000
1186472109148
12371972a8808
1317cc289b8bb
14aac170b048
155bd148da85
hex33d6a7ac88

222644645000 has 60 divisors (see below), whose sum is σ = 521734589145. Its totient is φ = 89044512000.

The previous prime is 222644644997. The next prime is 222644645023. The reversal of 222644645000 is 546446222.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 8 ways, for example, as 131924409796 + 90720235204 = 363214^2 + 301198^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=333650.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 33361664 + ... + 33368336.

Almost surely, 2222644645000 is an apocalyptic number.

222644645000 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 222644645000

222644645000 is an abundant number, since it is smaller than the sum of its proper divisors (299089944145).

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

222644645000 is an frugal number, since it uses more digits than its factorization.

222644645000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13372 (or 6680 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 35.

The spelling of 222644645000 in words is "two hundred twenty-two billion, six hundred forty-four million, six hundred forty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2500 5000 6673 13346 26692 33365 53384 66730 133460 166825 266920 333650 667300 834125 1334600 1668250 3336500 4170625 6673000 8341250 16682500 33365000 44528929 89057858 178115716 222644645 356231432 445289290 890578580 1113223225 1781157160 2226446450 4452892900 5566116125 8905785800 11132232250 22264464500 27830580625 44528929000 55661161250 111322322500 222644645000