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204241220210440 = 23572937111210997
BaseRepresentation
bin101110011100000110011101…
…011000010000111100001000
3222210011021021210201002112201
4232130012131120100330020
5203232242004333213230
62002215042105445544
761006640556300400
oct5634063530207410
9883137253632481
10204241220210440
115a094240284336
121aaa73974a08b4
1389c6b311a863a
1438614836c3800
151892bb21845ca
hexb9c19d610f08

204241220210440 has 96 divisors (see below), whose sum is σ = 535140649716120. Its totient is φ = 69950826796032.

The previous prime is 204241220210393. The next prime is 204241220210441. The reversal of 204241220210440 is 44012022142402.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 83606627919556 + 120634592290884 = 9143666^2 + 10983378^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 204241220210399 and 204241220210408.

It is not an unprimeable number, because it can be changed into a prime (204241220210441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53768979 + ... + 57442018.

Almost surely, 2204241220210440 is an apocalyptic number.

204241220210440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204241220210440 is an abundant number, since it is smaller than the sum of its proper divisors (330899429505680).

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

204241220210440 is a wasteful number, since it uses less digits than its factorization.

204241220210440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111211959 (or 111211948 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 204241220210440 its reverse (44012022142402), we get a palindrome (248253242352842).

The spelling of 204241220210440 in words is "two hundred four trillion, two hundred forty-one billion, two hundred twenty million, two hundred ten thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 937 980 1874 1960 3748 4685 6559 7496 9370 13118 18740 26236 32795 37480 45913 52472 65590 91826 131180 183652 229565 262360 367304 459130 918260 1836520 111210997 222421994 444843988 556054985 778476979 889687976 1112109970 1556953958 2224219940 3113907916 3892384895 4448439880 5449338853 6227815832 7784769790 10898677706 15569539580 21797355412 27246694265 31139079160 43594710824 54493388530 104204704189 108986777060 208409408378 217973554120 416818816756 521023520945 729432929323 833637633512 1042047041890 1458865858646 2084094083780 2917731717292 3647164646615 4168188167560 5106030505261 5835463434584 7294329293230 10212061010522 14588658586460 20424122021044 25530152526305 29177317172920 40848244042088 51060305052610 102120610105220 204241220210440