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2330243220330 = 2325611601265117
BaseRepresentation
bin100001111010001101010…
…100011100001101101010
322020202202122201122122200
4201322031110130031222
5301134314231022310
64542255435201030
7330232412363424
oct41721524341552
98222678648580
102330243220330
11819283604153
123177498a6176
1313b982c6590c
1480ada46d814
154093580a9c0
hex21e8d51c36a

2330243220330 has 96 divisors (see below), whose sum is σ = 6161823774288. Its totient is φ = 610827264000.

The previous prime is 2330243220311. The next prime is 2330243220359. The reversal of 2330243220330 is 330223420332.

2330243220330 is a `hidden beast` number, since 2 + 3 + 3 + 0 + 2 + 4 + 322 + 0 + 330 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1044375670809 + 1285867549521 = 1021947^2 + 1133961^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2330243220294 and 2330243220303.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8656932 + ... + 8922048.

Almost surely, 22330243220330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2330243220330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3080911887144).

2330243220330 is an abundant number, since it is smaller than the sum of its proper divisors (3831580553958).

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

2330243220330 is a wasteful number, since it uses less digits than its factorization.

2330243220330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266792 (or 266789 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 27.

Adding to 2330243220330 its reverse (330223420332), we get a palindrome (2660466640662).

The spelling of 2330243220330 in words is "two trillion, three hundred thirty billion, two hundred forty-three million, two hundred twenty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 61 90 122 183 305 366 549 610 915 1098 1601 1830 2745 3202 4803 5490 8005 9606 14409 16010 24015 28818 48030 72045 97661 144090 195322 265117 292983 488305 530234 585966 795351 878949 976610 1325585 1464915 1590702 1757898 2386053 2651170 2929830 3976755 4394745 4772106 7953510 8789490 11930265 16172137 23860530 32344274 48516411 80860685 97032822 145549233 161721370 242582055 291098466 424452317 485164110 727746165 848904634 1273356951 1455492330 2122261585 2546713902 3820070853 4244523170 6366784755 7640141706 12733569510 19100354265 25891591337 38200708530 51783182674 77674774011 129457956685 155349548022 233024322033 258915913370 388373870055 466048644066 776747740110 1165121610165 2330243220330