[go: up one dir, main page]

Search a number
-
+
243122220 = 2232511122789
BaseRepresentation
bin11100111110111…
…00000000101100
3121221110212222200
432133130000230
5444214402340
640042541500
76011335065
oct1637340054
9557425880
10243122220
11115266360
1269507890
133b4a5003
142440956c
1516526330
hexe7dc02c

243122220 has 72 divisors (see below), whose sum is σ = 804520080. Its totient is φ = 58938240.

The previous prime is 243122207. The next prime is 243122237. The reversal of 243122220 is 22221342.

243122220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 243122193 and 243122202.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59415 + ... + 63374.

It is an arithmetic number, because the mean of its divisors is an integer number (11173890).

Almost surely, 2243122220 is an apocalyptic number.

243122220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

243122220 is an abundant number, since it is smaller than the sum of its proper divisors (561397860).

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

243122220 is a wasteful number, since it uses less digits than its factorization.

243122220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122815 (or 122810 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 243122220 is about 15592.3769836417. The cubic root of 243122220 is about 624.1297498927.

Adding to 243122220 its reverse (22221342), we get a palindrome (265343562).

It can be divided in two parts, 243122 and 220, that added together give a palindrome (243342).

The spelling of 243122220 in words is "two hundred forty-three million, one hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 122789 245578 368367 491156 613945 736734 1105101 1227890 1350679 1473468 1841835 2210202 2455780 2701358 3683670 4052037 4420404 5402716 5525505 6753395 7367340 8104074 11051010 12156111 13506790 16208148 20260185 22102020 24312222 27013580 40520370 48624444 60780555 81040740 121561110 243122220