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204222210131430 = 232521737104390471
BaseRepresentation
bin101110011011110100110000…
…010010100100010111100110
3222210002110012221220000121100
4232123310300102210113212
5203231434041243201210
62002202215501500530
761005365514265461
oct5633646022442746
9883073187800540
10204222210131430
115a087175614637
121aaa3770b71746
1389c50c191c38a
14386059ca842d8
15189244d2a85c0
hexb9bd304a45e6

204222210131430 has 48 divisors (see below), whose sum is σ = 531002178798624. Its totient is φ = 54456750142080.

The previous prime is 204222210131411. The next prime is 204222210131449. The reversal of 204222210131430 is 34131012222402.

204222210131430 is a `hidden beast` number, since 2 + 0 + 4 + 2 + 2 + 2 + 210 + 13 + 1 + 430 = 666.

204222210131430 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (204222210131411) and next prime (204222210131449).

It is a super-2 number, since 2×2042222101314302 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 204222210131394 and 204222210131403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50238906 + ... + 54151565.

It is an arithmetic number, because the mean of its divisors is an integer number (11062545391638).

Almost surely, 2204222210131430 is an apocalyptic number.

204222210131430 is an abundant number, since it is smaller than the sum of its proper divisors (326779968667194).

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

204222210131430 is a wasteful number, since it uses less digits than its factorization.

204222210131430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104412221 (or 104412218 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 204222210131430 its reverse (34131012222402), we get a palindrome (238353222353832).

The spelling of 204222210131430 in words is "two hundred four trillion, two hundred twenty-two billion, two hundred ten million, one hundred thirty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 21737 43474 65211 108685 130422 195633 217370 326055 391266 652110 978165 1956330 104390471 208780942 313171413 521952355 626342826 939514239 1043904710 1565857065 1879028478 3131714130 4697571195 9395142390 2269135668127 4538271336254 6807407004381 11345678340635 13614814008762 20422221013143 22691356681270 34037035021905 40844442026286 68074070043810 102111105065715 204222210131430