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234221020 = 2251183101127
BaseRepresentation
bin11011111010111…
…10110111011100
3121022201122211121
431331132313130
5434430033040
635124100324
75542563055
oct1575366734
9538648747
10234221020
111102367a0
12665346a4
13396a9627
142316d72c
1515868c4a
hexdf5eddc

234221020 has 96 divisors (see below), whose sum is σ = 552738816. Its totient is φ = 82656000.

The previous prime is 234220993. The next prime is 234221021. The reversal of 234221020 is 20122432.

It is a junction number, because it is equal to n+sod(n) for n = 234220985 and 234221003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234221021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1844197 + ... + 1844323.

It is an arithmetic number, because the mean of its divisors is an integer number (5757696).

Almost surely, 2234221020 is an apocalyptic number.

234221020 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 234221020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276369408).

234221020 is an abundant number, since it is smaller than the sum of its proper divisors (318517796).

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

234221020 is a wasteful number, since it uses less digits than its factorization.

234221020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 234221020 is about 15304.2811003980. The cubic root of 234221020 is about 616.4179677283.

Adding to 234221020 its reverse (20122432), we get a palindrome (254343452).

It can be divided in two parts, 23422 and 1020, that added together give a palindrome (24442).

The spelling of 234221020 in words is "two hundred thirty-four million, two hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 83 101 110 127 166 202 220 254 332 404 415 505 508 635 830 913 1010 1111 1270 1397 1660 1826 2020 2222 2540 2794 3652 4444 4565 5555 5588 6985 8383 9130 10541 11110 12827 13970 16766 18260 21082 22220 25654 27940 33532 41915 42164 51308 52705 64135 83830 92213 105410 115951 128270 141097 167660 184426 210820 231902 256540 282194 368852 461065 463804 564388 579755 705485 922130 1064641 1159510 1410970 1844260 2129282 2319020 2821940 4258564 5323205 10646410 11711051 21292820 23422102 46844204 58555255 117110510 234221020