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234221420 = 225234791063
BaseRepresentation
bin11011111010111…
…10111101101100
3121022201200101102
431331132331230
5434430041140
635124102232
75542564166
oct1575367554
9538650342
10234221420
11110237024
1266534978
13396a9874
142316d936
1515868e15
hexdf5ef6c

234221420 has 48 divisors (see below), whose sum is σ = 514805760. Its totient is φ = 89343936.

The previous prime is 234221411. The next prime is 234221423. The reversal of 234221420 is 24122432.

234221420 = T2571 + T2572 + ... + T2639.

234221420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 = 234221392 and 234221401.

It is not an unprimeable number, because it can be changed into a prime (234221423) 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, 219809 + ... + 220871.

It is an arithmetic number, because the mean of its divisors is an integer number (10725120).

Almost surely, 2234221420 is an apocalyptic number.

234221420 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 234221420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257402880).

234221420 is an abundant number, since it is smaller than the sum of its proper divisors (280584340).

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

234221420 is a wasteful number, since it uses less digits than its factorization.

234221420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1574 (or 1572 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 234221420 is about 15304.2941686312. The cubic root of 234221420 is about 616.4183186319.

Adding to 234221420 its reverse (24122432), we get a palindrome (258343852).

It can be divided in two parts, 23422 and 1420, that added together give a palindrome (24842).

The spelling of 234221420 in words is "two hundred thirty-four million, two hundred twenty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 460 479 958 1063 1916 2126 2395 4252 4790 5315 9580 10630 11017 21260 22034 24449 44068 48898 55085 97796 110170 122245 220340 244490 488980 509177 1018354 2036708 2545885 5091770 10183540 11711071 23422142 46844284 58555355 117110710 234221420