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243151420 = 22537457719
BaseRepresentation
bin11100111111000…
…11001000111100
3121221112101001011
432133203020330
5444221321140
640043325004
76011516161
oct1637431074
9557471034
10243151420
11115286296
1269520764
133b4b53a5
1424416068
151652ecea
hexe7e323c

243151420 has 48 divisors (see below), whose sum is σ = 526296960. Its totient is φ = 94293504.

The previous prime is 243151411. The next prime is 243151427. The reversal of 243151420 is 24151342.

It is a super-2 number, since 2×2431514202 = 118245226096032800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 243151391 and 243151400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243151427) 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, 337821 + ... + 338539.

It is an arithmetic number, because the mean of its divisors is an integer number (10964520).

Almost surely, 2243151420 is an apocalyptic number.

243151420 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 243151420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263148480).

243151420 is an abundant number, since it is smaller than the sum of its proper divisors (283145540).

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

243151420 is a wasteful number, since it uses less digits than its factorization.

243151420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1222 (or 1220 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 243151420 is about 15593.3133105187. The cubic root of 243151420 is about 624.1547357607.

The spelling of 243151420 in words is "two hundred forty-three million, one hundred fifty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 457 719 740 914 1438 1828 2285 2876 3595 4570 7190 9140 14380 16909 26603 33818 53206 67636 84545 106412 133015 169090 266030 328583 338180 532060 657166 1314332 1642915 3285830 6571660 12157571 24315142 48630284 60787855 121575710 243151420