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224078189140 = 225131376290797
BaseRepresentation
bin1101000010110000011…
…0011101001001010100
3210102101101122102112101
43100230012131021110
512132403004023030
6250535021131444
722121603116111
oct3205406351124
9712341572471
10224078189140
1187038329073
12375173b9b84
1318190893580
14abb9c71908
155c6725c7ca
hex342c19d254

224078189140 has 48 divisors (see below), whose sum is σ = 510460512912. Its totient is φ = 82132632576.

The previous prime is 224078189123. The next prime is 224078189147. The reversal of 224078189140 is 41981870422.

It can be written as a sum of positive squares in 8 ways, for example, as 1613146896 + 222465042244 = 40164^2 + 471662^2 .

It is a super-2 number, since 2×2240781891402 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224078189147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3109779 + ... + 3181018.

It is an arithmetic number, because the mean of its divisors is an integer number (10634594019).

Almost surely, 2224078189140 is an apocalyptic number.

224078189140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224078189140 is an abundant number, since it is smaller than the sum of its proper divisors (286382323772).

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

224078189140 is a wasteful number, since it uses less digits than its factorization.

224078189140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6290956 (or 6290954 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 46.

The spelling of 224078189140 in words is "two hundred twenty-four billion, seventy-eight million, one hundred eighty-nine thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 137 260 274 548 685 1370 1781 2740 3562 7124 8905 17810 35620 6290797 12581594 25163188 31453985 62907970 81780361 125815940 163560722 327121444 408901805 817803610 861839189 1635607220 1723678378 3447356756 4309195945 8618391890 11203909457 17236783780 22407818914 44815637828 56019547285 112039094570 224078189140