Search a number
-
+
38220000 = 253547213
BaseRepresentation
bin1001000111001…
…1000011100000
32122220202222120
42101303003200
534241020000
63443104240
7642602400
oct221630340
978822876
1038220000
111a635285
1210972080
137bc25b0
14510c800
15354e6a0
hex24730e0

38220000 has 360 divisors, whose sum is σ = 157055976. Its totient is φ = 8064000.

The previous prime is 38219981. The next prime is 38220011. The reversal of 38220000 is 2283.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2939994 + ... + 2940006.

Almost surely, 238220000 is an apocalyptic number.

38220000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78527988).

38220000 is an abundant number, since it is smaller than the sum of its proper divisors (118835976).

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

38220000 is a wasteful number, since it uses less digits than its factorization.

38220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 38220000 is about 6182.2326064295. The cubic root of 38220000 is about 336.8450948885.

Adding to 38220000 its reverse (2283), we get a palindrome (38222283).

The spelling of 38220000 in words is "thirty-eight million, two hundred twenty thousand".