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38003220 = 22325211129
BaseRepresentation
bin1001000011111…
…0001000010100
32122111202121200
42100332020110
534212100340
63434312500
7641010363
oct220761024
978452550
1038003220
111a4a7422
1210888730
137b47a18
1450937da
15350a330
hex243e214

38003220 has 36 divisors (see below), whose sum is σ = 115276980. Its totient is φ = 10134144.

The previous prime is 38003219. The next prime is 38003239. The reversal of 38003220 is 2230083.

It can be written as a sum of positive squares in 2 ways, for example, as 18766224 + 19236996 = 4332^2 + 4386^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 38003193 and 38003202.

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, 105385 + ... + 105744.

Almost surely, 238003220 is an apocalyptic number.

38003220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38003220 is an abundant number, since it is smaller than the sum of its proper divisors (77273760).

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

38003220 is a wasteful number, since it uses less digits than its factorization.

38003220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211144 (or 211139 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 38003220 is about 6164.6751739244. The cubic root of 38003220 is about 336.2070365177.

The spelling of 38003220 in words is "thirty-eight million, three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 211129 422258 633387 844516 1055645 1266774 1900161 2111290 2533548 3166935 3800322 4222580 6333870 7600644 9500805 12667740 19001610 38003220