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205421031222 = 23117995341341
BaseRepresentation
bin1011111101010000001…
…1000010111100110110
3201122020010220121022120
42333110003002330312
511331200240444342
6234211421340410
720561344645521
oct2772403027466
9648203817276
10205421031222
117a1338a91a0
123398b107706
13164a9473c64
149d2a05dbb8
155524345aec
hex2fd40c2f36

205421031222 has 64 divisors (see below), whose sum is σ = 454351887360. Its totient is φ = 61394860800.

The previous prime is 205421031203. The next prime is 205421031223. The reversal of 205421031222 is 222130124502.

It is a junction number, because it is equal to n+sod(n) for n = 205421031192 and 205421031201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205421031223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4948272 + ... + 4989612.

It is an arithmetic number, because the mean of its divisors is an integer number (7099248240).

Almost surely, 2205421031222 is an apocalyptic number.

205421031222 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 205421031222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227175943680).

205421031222 is an abundant number, since it is smaller than the sum of its proper divisors (248930856138).

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

205421031222 is a wasteful number, since it uses less digits than its factorization.

205421031222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42389.

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 205421031222 its reverse (222130124502), we get a palindrome (427551155724).

The spelling of 205421031222 in words is "two hundred five billion, four hundred twenty-one million, thirty-one thousand, two hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 66 79 158 237 474 869 953 1738 1906 2607 2859 5214 5718 10483 20966 31449 41341 62898 75287 82682 124023 150574 225861 248046 451722 454751 828157 909502 1364253 1656314 2484471 2728506 3265939 4968942 6531878 9797817 19595634 35925329 39397973 71850658 78795946 107775987 118193919 215551974 236387838 433377703 866755406 1300133109 2600266218 3112439867 6224879734 9337319601 18674639202 34236838537 68473677074 102710515611 205421031222