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243220120 = 2351113101421
BaseRepresentation
bin11100111111100…
…11111010011000
3121221122212021121
432133303322120
5444231020440
640045015024
76012223363
oct1637637230
9557585247
10243220120
11115322970
1269554474
133b50a740
14244330da
151654534a
hexe7f3e98

243220120 has 128 divisors (see below), whose sum is σ = 650825280. Its totient is φ = 80640000.

The previous prime is 243220099. The next prime is 243220189. The reversal of 243220120 is 21022342.

It is a junction number, because it is equal to n+sod(n) for n = 243220094 and 243220103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 577510 + ... + 577930.

Almost surely, 2243220120 is an apocalyptic number.

243220120 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 243220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325412640).

243220120 is an abundant number, since it is smaller than the sum of its proper divisors (407605160).

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

243220120 is a wasteful number, since it uses less digits than its factorization.

243220120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557 (or 553 counting only the distinct ones).

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

The square root of 243220120 is about 15595.5160222418. The cubic root of 243220120 is about 624.2135131166.

Adding to 243220120 its reverse (21022342), we get a palindrome (264242462).

The spelling of 243220120 in words is "two hundred forty-three million, two hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 88 101 104 110 130 143 202 220 260 286 404 421 440 505 520 572 715 808 842 1010 1111 1144 1313 1430 1684 2020 2105 2222 2626 2860 3368 4040 4210 4444 4631 5252 5473 5555 5720 6565 8420 8888 9262 10504 10946 11110 13130 14443 16840 18524 21892 22220 23155 26260 27365 28886 37048 42521 43784 44440 46310 52520 54730 57772 60203 72215 85042 92620 109460 115544 120406 144430 170084 185240 212605 218920 240812 288860 301015 340168 425210 467731 481624 552773 577720 602030 850420 935462 1105546 1204060 1700840 1870924 2211092 2338655 2408120 2763865 3741848 4422184 4677310 5527730 6080503 9354620 11055460 12161006 18709240 22110920 24322012 30402515 48644024 60805030 121610060 243220120