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204002222240 = 2551775000817
BaseRepresentation
bin1011110111111101111…
…0101110000010100000
3201111120021011122021202
42331333132232002200
511320244032102430
6233414535340332
720511236164265
oct2757736560240
9644507148252
10204002222240
1179575a32a93
1233653b216a8
131631153b20b
149c3385326c
15548e9d7d45
hex2f7f7ae0a0

204002222240 has 48 divisors (see below), whose sum is σ = 510305565672. Its totient is φ = 76800835584.

The previous prime is 204002222233. The next prime is 204002222267. The reversal of 204002222240 is 42222200402.

It can be written as a sum of positive squares in 4 ways, for example, as 186047294224 + 17954928016 = 431332^2 + 133996^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 37497689 + ... + 37503128.

Almost surely, 2204002222240 is an apocalyptic number.

204002222240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204002222240 is an abundant number, since it is smaller than the sum of its proper divisors (306303343432).

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

204002222240 is a wasteful number, since it uses less digits than its factorization.

204002222240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75000849 (or 75000841 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 204002222240 its reverse (42222200402), we get a palindrome (246224422642).

The spelling of 204002222240 in words is "two hundred four billion, two million, two hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 340 544 680 1360 2720 75000817 150001634 300003268 375004085 600006536 750008170 1200013072 1275013889 1500016340 2400026144 2550027778 3000032680 5100055556 6000065360 6375069445 10200111112 12000130720 12750138890 20400222224 25500277780 40800444448 51000555560 102001111120 204002222240