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236214420 = 223513319769
BaseRepresentation
bin11100001010001…
…01100010010100
3121110110221021020
432011011202110
5440432330140
635234521140
75565534531
oct1605054224
9543427236
10236214420
11111378432
12671361b0
1339c26a60
142352bd88
1515b0e6d0
hexe145894

236214420 has 96 divisors (see below), whose sum is σ = 735329280. Its totient is φ = 56263680.

The previous prime is 236214361. The next prime is 236214427. The reversal of 236214420 is 24412632.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (236214427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19296 + ... + 29064.

It is an arithmetic number, because the mean of its divisors is an integer number (7659680).

Almost surely, 2236214420 is an apocalyptic number.

236214420 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 236214420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367664640).

236214420 is an abundant number, since it is smaller than the sum of its proper divisors (499114860).

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

236214420 is a wasteful number, since it uses less digits than its factorization.

236214420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9825 (or 9823 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 236214420 is about 15369.2686878719. The cubic root of 236214420 is about 618.1617594807.

The spelling of 236214420 in words is "two hundred thirty-six million, two hundred fourteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 31 39 52 60 62 65 78 93 124 130 155 156 186 195 260 310 372 390 403 465 620 780 806 930 1209 1612 1860 2015 2418 4030 4836 6045 8060 9769 12090 19538 24180 29307 39076 48845 58614 97690 117228 126997 146535 195380 253994 293070 302839 380991 507988 586140 605678 634985 761982 908517 1211356 1269970 1514195 1523964 1817034 1904955 2539940 3028390 3634068 3809910 3936907 4542585 6056780 7619820 7873814 9085170 11810721 15747628 18170340 19684535 23621442 39369070 47242884 59053605 78738140 118107210 236214420