Search a number
-
+
38219220 = 223251316333
BaseRepresentation
bin1001000111001…
…0110111010100
32122220201220200
42101302313110
534241003340
63443100500
7642600204
oct221626724
978821820
1038219220
111a634736
1210971730
137bc2130
14510c404
15354e330
hex2472dd4

38219220 has 72 divisors (see below), whose sum is σ = 124857096. Its totient is φ = 9407232.

The previous prime is 38219219. The next prime is 38219227. The reversal of 38219220 is 2291283.

It is a happy number.

38219220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 617796 + 37601424 = 786^2 + 6132^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38219227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5827 + ... + 10506.

Almost surely, 238219220 is an apocalyptic number.

38219220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38219220 is an abundant number, since it is smaller than the sum of its proper divisors (86637876).

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

38219220 is a wasteful number, since it uses less digits than its factorization.

38219220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16361 (or 16356 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 38219220 is about 6182.1695221014. The cubic root of 38219220 is about 336.8428034097.

It can be divided in two parts, 3821 and 9220, that added together give a triangular number (13041 = T161).

The spelling of 38219220 in words is "thirty-eight million, two hundred nineteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 16333 32666 48999 65332 81665 97998 146997 163330 195996 212329 244995 293994 326660 424658 489990 587988 636987 734985 849316 979980 1061645 1273974 1469970 1910961 2123290 2547948 2939940 3184935 3821922 4246580 6369870 7643844 9554805 12739740 19109610 38219220