Search a number
-
+
38225160 = 23325106181
BaseRepresentation
bin1001000111010…
…0010100001000
32122221001001200
42101310110020
534241201120
63443144200
7642623421
oct221642410
978831050
1038225160
111a639146
1210975060
137bc4a4c
145110648
153550e90
hex2474508

38225160 has 48 divisors (see below), whose sum is σ = 124232940. Its totient is φ = 10193280.

The previous prime is 38225153. The next prime is 38225171. The reversal of 38225160 is 6152283.

It can be written as a sum of positive squares in 2 ways, for example, as 33108516 + 5116644 = 5754^2 + 2262^2 .

It is a super-2 number, since 2×382251602 = 2922325714051200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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, 52731 + ... + 53450.

Almost surely, 238225160 is an apocalyptic number.

38225160 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38225160 is an abundant number, since it is smaller than the sum of its proper divisors (86007780).

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

38225160 is a wasteful number, since it uses less digits than its factorization.

38225160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106198 (or 106191 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 38225160 is about 6182.6499173089. The cubic root of 38225160 is about 336.8602531170.

The spelling of 38225160 in words is "thirty-eight million, two hundred twenty-five thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 106181 212362 318543 424724 530905 637086 849448 955629 1061810 1274172 1592715 1911258 2123620 2548344 3185430 3822516 4247240 4778145 6370860 7645032 9556290 12741720 19112580 38225160