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224342322444 = 2232371117115077
BaseRepresentation
bin1101000011101111011…
…0000010110100001100
3210110001210122210022100
43100323312002310030
512133423113304234
6251021134315100
722131261164052
oct3207366026414
9713053583270
10224342322444
1187163435359
123758b958a90
1318203513c76
14ac02d8a1d2
155c80534399
hex343bd82d0c

224342322444 has 72 divisors (see below), whose sum is σ = 582504996528. Its totient is φ = 72748333440.

The previous prime is 224342322439. The next prime is 224342322469. The reversal of 224342322444 is 444223243422.

224342322444 is a `hidden beast` number, since 2 + 2 + 4 + 3 + 423 + 224 + 4 + 4 = 666.

It is a super-2 number, since 2×2243423224442 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 224342322399 and 224342322408.

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, 14872234 + ... + 14887310.

It is an arithmetic number, because the mean of its divisors is an integer number (8090347174).

Almost surely, 2224342322444 is an apocalyptic number.

It is an amenable number.

224342322444 is an abundant number, since it is smaller than the sum of its proper divisors (358162674084).

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

224342322444 is a wasteful number, since it uses less digits than its factorization.

224342322444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26295 (or 26290 counting only the distinct ones).

The product of its digits is 294912, while the sum is 36.

Adding to 224342322444 its reverse (444223243422), we get a palindrome (668565565866).

The spelling of 224342322444 in words is "two hundred twenty-four billion, three hundred forty-two million, three hundred twenty-two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 11171 15077 22342 30154 33513 44684 45231 60308 67026 90462 100539 134052 135693 180924 201078 271386 402156 413327 542772 557849 826654 1115698 1239981 1653308 1673547 2231396 2479962 3347094 3719943 4959924 5020641 6694188 7439886 10041282 14879772 20082564 168425167 336850334 505275501 673700668 1010551002 1515826503 2021102004 3031653006 6063306012 6231731179 12463462358 18695193537 24926924716 37390387074 56085580611 74780774148 112171161222 224342322444