Search a number
-
+
24132202240 = 285103318251
BaseRepresentation
bin10110011110011001…
…000010111100000000
32022021210222220002011
4112132121002330000
5343410320432430
615030340502304
71513006222516
oct263631027400
968253886064
1024132202240
11a263aa97a3
1248159aa994
132377806313
14124d0104b6
1596390722a
hex59e642f00

24132202240 has 72 divisors (see below), whose sum is σ = 57863293488. Its totient is φ = 9643008000.

The previous prime is 24132202231. The next prime is 24132202267. The reversal of 24132202240 is 4220223142.

It is a super-2 number, since 2×241322022402 (a number of 22 digits) contains 22 as substring.

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, 1313115 + ... + 1331365.

It is an arithmetic number, because the mean of its divisors is an integer number (803656854).

Almost surely, 224132202240 is an apocalyptic number.

24132202240 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 24132202240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28931646744).

24132202240 is an abundant number, since it is smaller than the sum of its proper divisors (33731091248).

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

24132202240 is a wasteful number, since it uses less digits than its factorization.

24132202240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19305 (or 19291 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 24132202240 its reverse (4220223142), we get a palindrome (28352425382).

The spelling of 24132202240 in words is "twenty-four billion, one hundred thirty-two million, two hundred two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1033 1280 2066 4132 5165 8264 10330 16528 18251 20660 33056 36502 41320 66112 73004 82640 91255 132224 146008 165280 182510 264448 292016 330560 365020 584032 661120 730040 1168064 1322240 1460080 2336128 2920160 4672256 5840320 11680640 18853283 23361280 37706566 75413132 94266415 150826264 188532830 301652528 377065660 603305056 754131320 1206610112 1508262640 2413220224 3016525280 4826440448 6033050560 12066101120 24132202240