Search a number
-
+
225150209040 = 2435938125871
BaseRepresentation
bin1101000110101111111…
…1111000110000010000
3210112011002211200101010
43101223333320300100
512142101423142130
6251233234210520
722160301125421
oct3215377706020
9715132750333
10225150209040
1187538472529
1237776423a40
13183019c8783
14ac7c3a9648
155ccb4180b0
hex346bff8c10

225150209040 has 40 divisors (see below), whose sum is σ = 697965648768. Its totient is φ = 60040055680.

The previous prime is 225150208999. The next prime is 225150209059. The reversal of 225150209040 is 40902051522.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 225150208989 and 225150209007.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 469062696 + ... + 469063175.

Almost surely, 2225150209040 is an apocalyptic number.

225150209040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225150209040 is an abundant number, since it is smaller than the sum of its proper divisors (472815439728).

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

225150209040 is a wasteful number, since it uses less digits than its factorization.

225150209040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 938125887 (or 938125881 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The spelling of 225150209040 in words is "two hundred twenty-five billion, one hundred fifty million, two hundred nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 938125871 1876251742 2814377613 3752503484 4690629355 5628755226 7505006968 9381258710 11257510452 14071888065 15010013936 18762517420 22515020904 28143776130 37525034840 45030041808 56287552260 75050069680 112575104520 225150209040