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359224020 = 223251995689
BaseRepresentation
bin10101011010010…
…101001011010100
3221000221110201100
4111122111023110
51213430132040
655351230100
711621232231
oct2532251324
9830843640
10359224020
11174855361
12a0378330
13595657bc
14359cc788
152180bb30
hex156952d4

359224020 has 36 divisors (see below), whose sum is σ = 1089646740. Its totient is φ = 95793024.

The previous prime is 359223967. The next prime is 359224043. The reversal of 359224020 is 20422953.

It can be written as a sum of positive squares in 2 ways, for example, as 262634436 + 96589584 = 16206^2 + 9828^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 997665 + ... + 998024.

It is an arithmetic number, because the mean of its divisors is an integer number (30267965).

Almost surely, 2359224020 is an apocalyptic number.

359224020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

359224020 is an abundant number, since it is smaller than the sum of its proper divisors (730422720).

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

359224020 is a wasteful number, since it uses less digits than its factorization.

359224020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1995704 (or 1995699 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 359224020 is about 18953.2060612446. The cubic root of 359224020 is about 710.8671676460.

Adding to 359224020 its reverse (20422953), we get a palindrome (379646973).

The spelling of 359224020 in words is "three hundred fifty-nine million, two hundred twenty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1995689 3991378 5987067 7982756 9978445 11974134 17961201 19956890 23948268 29935335 35922402 39913780 59870670 71844804 89806005 119741340 179612010 359224020