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204221234440 = 23517291295271
BaseRepresentation
bin1011111000110010001…
…0001011110100001000
3201112010112021121112201
42332030202023310020
511321221114000230
6233452401445544
720516535564646
oct2761442136410
9645115247481
10204221234440
1179678621103
12336b53408b4
1316347a21132
149c54984196
1554a3d4a5ca
hex2f8c88bd08

204221234440 has 32 divisors (see below), whose sum is σ = 459525908160. Its totient is φ = 81683492800.

The previous prime is 204221234431. The next prime is 204221234489. The reversal of 204221234440 is 44432122402.

It is a super-2 number, since 2×2042212344402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 204221234399 and 204221234408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 544005 + ... + 839275.

It is an arithmetic number, because the mean of its divisors is an integer number (14360184630).

Almost surely, 2204221234440 is an apocalyptic number.

204221234440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204221234440 is an abundant number, since it is smaller than the sum of its proper divisors (255304673720).

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

204221234440 is a wasteful number, since it uses less digits than its factorization.

204221234440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312573 (or 312569 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 204221234440 its reverse (44432122402), we get a palindrome (248653356842).

The spelling of 204221234440 in words is "two hundred four billion, two hundred twenty-one million, two hundred thirty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 17291 34582 69164 86455 138328 172910 295271 345820 590542 691640 1181084 1476355 2362168 2952710 5905420 11810840 5105530861 10211061722 20422123444 25527654305 40844246888 51055308610 102110617220 204221234440