Search a number
-
+
2143233024 = 21033671901
BaseRepresentation
bin111111110111111…
…0010010000000000
312112100212111222220
41333233302100000
513342131424044
6552400531040
7104053115532
oct17757622000
95470774886
102143233024
119aa887769
124b9920a80
1328204712a
14164901852
15c8257019
hex7fbf2400

2143233024 has 88 divisors (see below), whose sum is σ = 5731075968. Its totient is φ = 712089600.

The previous prime is 2143233017. The next prime is 2143233073. The reversal of 2143233024 is 4203323412.

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

It is a junction number, because it is equal to n+sod(n) for n = 2143232985 and 2143233003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1126474 + ... + 1128374.

Almost surely, 22143233024 is an apocalyptic number.

2143233024 is a gapful number since it is divisible by the number (24) 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 2143233024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2865537984).

2143233024 is an abundant number, since it is smaller than the sum of its proper divisors (3587842944).

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

2143233024 is a wasteful number, since it uses less digits than its factorization.

2143233024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2291 (or 2273 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 2143233024 is about 46295.0647909688. The cubic root of 2143233024 is about 1289.3073668922.

Adding to 2143233024 its reverse (4203323412), we get a palindrome (6346556436).

The spelling of 2143233024 in words is "two billion, one hundred forty-three million, two hundred thirty-three thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 367 384 512 734 768 1024 1101 1468 1536 1901 2202 2936 3072 3802 4404 5703 5872 7604 8808 11406 11744 15208 17616 22812 23488 30416 35232 45624 46976 60832 70464 91248 93952 121664 140928 182496 187904 243328 281856 364992 375808 486656 563712 697667 729984 973312 1127424 1395334 1459968 1946624 2093001 2790668 2919936 4186002 5581336 5839872 8372004 11162672 16744008 22325344 33488016 44650688 66976032 89301376 133952064 178602752 267904128 357205504 535808256 714411008 1071616512 2143233024