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243081972 = 22347195641
BaseRepresentation
bin11100111110100…
…10001011110100
3121221101211210000
432133102023310
5444212110342
640042031300
76011106540
oct1637221364
9557354700
10243081972
111152390a1
12694a8530
133b48c8b3
14243d8a20
151651944c
hexe7d22f4

243081972 has 120 divisors (see below), whose sum is σ = 764603840. Its totient is φ = 65784960.

The previous prime is 243081941. The next prime is 243082003. The reversal of 243081972 is 279180342.

It is an interprime number because it is at equal distance from previous prime (243081941) and next prime (243082003).

It is a super-2 number, since 2×2430819722 = 118177690222817568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 40272 + ... + 45912.

Almost surely, 2243081972 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243081972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382301920).

243081972 is an abundant number, since it is smaller than the sum of its proper divisors (521521868).

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

243081972 is a wasteful number, since it uses less digits than its factorization.

243081972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5683 (or 5672 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 243081972 is about 15591.0862995495. The cubic root of 243081972 is about 624.0953071880.

The spelling of 243081972 in words is "two hundred forty-three million, eighty-one thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 27 28 36 38 42 54 57 63 76 81 84 108 114 126 133 162 171 189 228 252 266 324 342 378 399 513 532 567 684 756 798 1026 1134 1197 1539 1596 2052 2268 2394 3078 3591 4788 5641 6156 7182 10773 11282 14364 16923 21546 22564 33846 39487 43092 50769 67692 78974 101538 107179 118461 152307 157948 203076 214358 236922 304614 321537 355383 428716 456921 473844 609228 643074 710766 750253 913842 964611 1066149 1286148 1421532 1500506 1827684 1929222 2132298 2250759 2893833 3001012 3198447 3858444 4264596 4501518 5787666 6396894 6752277 8681499 9003036 11575332 12793788 13504554 17362998 20256831 27009108 34725996 40513662 60770493 81027324 121540986 243081972