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2232443040 = 253543108161
BaseRepresentation
bin1000010100010000…
…0110000010100000
312202120201212010120
42011010012002200
514033001134130
61005305000240
7106215311202
oct20504060240
95676655116
102232443040
11a46179553
12523783080
13297680619
141726c4772
15d0ec9910
hex851060a0

2232443040 has 96 divisors (see below), whose sum is σ = 7195801536. Its totient is φ = 581468160.

The previous prime is 2232443033. The next prime is 2232443053. The reversal of 2232443040 is 403442322.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×22324430403 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2232443040.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33441 + ... + 74720.

It is an arithmetic number, because the mean of its divisors is an integer number (74956266).

Almost surely, 22232443040 is an apocalyptic number.

2232443040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2232443040 is an abundant number, since it is smaller than the sum of its proper divisors (4963358496).

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

2232443040 is a wasteful number, since it uses less digits than its factorization.

2232443040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108222 (or 108214 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 2232443040 is about 47248.7358561052. The cubic root of 2232443040 is about 1306.9534783891.

Adding to 2232443040 its reverse (403442322), we get a palindrome (2635885362).

The spelling of 2232443040 in words is "two billion, two hundred thirty-two million, four hundred forty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 43 48 60 80 86 96 120 129 160 172 215 240 258 344 430 480 516 645 688 860 1032 1290 1376 1720 2064 2580 3440 4128 5160 6880 10320 20640 108161 216322 324483 432644 540805 648966 865288 1081610 1297932 1622415 1730576 2163220 2595864 3244830 3461152 4326440 4650923 5191728 6489660 8652880 9301846 10383456 12979320 13952769 17305760 18603692 23254615 25958640 27905538 37207384 46509230 51917280 55811076 69763845 74414768 93018460 111622152 139527690 148829536 186036920 223244304 279055380 372073840 446488608 558110760 744147680 1116221520 2232443040