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38222328 = 23353151199
BaseRepresentation
bin1001000111001…
…1100111111000
32122220220011210
42101303213320
534241103303
63443123120
7642612234
oct221634770
978826153
1038222328
111a637001
12109734a0
137bc3681
14510d5c4
153550203
hex24739f8

38222328 has 64 divisors (see below), whose sum is σ = 98496000. Its totient is φ = 12355200.

The previous prime is 38222321. The next prime is 38222351. The reversal of 38222328 is 82322283.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 38222295 and 38222304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38222321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 191973 + ... + 192171.

It is an arithmetic number, because the mean of its divisors is an integer number (1539000).

Almost surely, 238222328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38222328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49248000).

38222328 is an abundant number, since it is smaller than the sum of its proper divisors (60273672).

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

38222328 is a wasteful number, since it uses less digits than its factorization.

38222328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 408 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 38222328 is about 6182.4208850579. The cubic root of 38222328 is about 336.8519338860.

The spelling of 38222328 in words is "thirty-eight million, two hundred twenty-two thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 24 53 106 151 159 199 212 302 318 398 424 453 597 604 636 796 906 1194 1208 1272 1592 1812 2388 3624 4776 8003 10547 16006 21094 24009 30049 31641 32012 42188 48018 60098 63282 64024 84376 90147 96036 120196 126564 180294 192072 240392 253128 360588 721176 1592597 3185194 4777791 6370388 9555582 12740776 19111164 38222328