Search a number
-
+
231930020 = 22577123333
BaseRepresentation
bin11011101001011…
…11100010100100
3121011102021011202
431310233202210
5433333230040
635003022032
75514241550
oct1564574244
9534367152
10231930020
11109a11503
126580a918
13390868ca
1422b34860
1515565015
hexdd2f8a4

231930020 has 48 divisors (see below), whose sum is σ = 564496128. Its totient is φ = 78395520.

The previous prime is 231930019. The next prime is 231930073. The reversal of 231930020 is 20039132.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 231929974 and 231930001.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1727 + ... + 21606.

It is an arithmetic number, because the mean of its divisors is an integer number (11760336).

Almost surely, 2231930020 is an apocalyptic number.

231930020 is a gapful number since it is divisible by the number (20) 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 231930020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282248064).

231930020 is an abundant number, since it is smaller than the sum of its proper divisors (332566108).

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

231930020 is a wasteful number, since it uses less digits than its factorization.

231930020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23420 (or 23418 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

The square root of 231930020 is about 15229.2488324277. The cubic root of 231930020 is about 614.4015771048.

Adding to 231930020 its reverse (20039132), we get a palindrome (251969152).

The spelling of 231930020 in words is "two hundred thirty-one million, nine hundred thirty thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 71 140 142 284 355 497 710 994 1420 1988 2485 4970 9940 23333 46666 93332 116665 163331 233330 326662 466660 653324 816655 1633310 1656643 3266620 3313286 6626572 8283215 11596501 16566430 23193002 33132860 46386004 57982505 115965010 231930020