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38228320 = 2551318379
BaseRepresentation
bin1001000111010…
…1000101100000
32122221012101201
42101311011200
534241301240
63443210544
7642635554
oct221650540
978835351
1038228320
111a640559
1210976a54
137bc6310
145111864
153551d9a
hex2475160

38228320 has 48 divisors (see below), whose sum is σ = 97266960. Its totient is φ = 14114304.

The previous prime is 38228299. The next prime is 38228341. The reversal of 38228320 is 2382283.

It is an interprime number because it is at equal distance from previous prime (38228299) and next prime (38228341).

It is a super-2 number, since 2×382283202 = 2922808900044800, which contains 22 as substring.

It is a congruent number.

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, 7110 + ... + 11269.

It is an arithmetic number, because the mean of its divisors is an integer number (2026395).

Almost surely, 238228320 is an apocalyptic number.

It is an amenable number.

38228320 is an abundant number, since it is smaller than the sum of its proper divisors (59038640).

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

38228320 is a wasteful number, since it uses less digits than its factorization.

38228320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18407 (or 18399 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 38228320 is about 6182.9054658793. The cubic root of 38228320 is about 336.8695353896.

The spelling of 38228320 in words is "thirty-eight million, two hundred twenty-eight thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 18379 36758 73516 91895 147032 183790 238927 294064 367580 477854 588128 735160 955708 1194635 1470320 1911416 2389270 2940640 3822832 4778540 7645664 9557080 19114160 38228320