Search a number
-
+
245231224320 = 293573437413
BaseRepresentation
bin1110010001100011101…
…0111000011000000000
3212102222120210221200210
43210120322320120000
513004213143134240
6304354020114120
723501026004445
oct3443072703000
9772876727623
10245231224320
11950026a6525
123b63b535940
131a1820ca934
14bc2533d9cc
1565a4338780
hex3918eb8600

245231224320 has 160 divisors (see below), whose sum is σ = 794714751072. Its totient is φ = 64499023872.

The previous prime is 245231224313. The next prime is 245231224351. The reversal of 245231224320 is 23422132542.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 341934 + ... + 779346.

Almost surely, 2245231224320 is an apocalyptic number.

245231224320 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 245231224320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397357375536).

245231224320 is an abundant number, since it is smaller than the sum of its proper divisors (549483526752).

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

245231224320 is an equidigital number, since it uses as much as digits as its factorization.

245231224320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437512 (or 437496 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 245231224320 its reverse (23422132542), we get a palindrome (268653356862).

The spelling of 245231224320 in words is "two hundred forty-five billion, two hundred thirty-one million, two hundred twenty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 73 80 96 120 128 146 160 192 219 240 256 292 320 365 384 438 480 512 584 640 730 768 876 960 1095 1168 1280 1460 1536 1752 1920 2190 2336 2560 2920 3504 3840 4380 4672 5840 7008 7680 8760 9344 11680 14016 17520 18688 23360 28032 35040 37376 46720 56064 70080 93440 112128 140160 186880 280320 437413 560640 874826 1312239 1749652 2187065 2624478 3499304 4374130 5248956 6561195 6998608 8748260 10497912 13122390 13997216 17496520 20995824 26244780 27994432 31931149 34993040 41991648 52489560 55988864 63862298 69986080 83983296 95793447 104979120 111977728 127724596 139972160 159655745 167966592 191586894 209958240 223955456 255449192 279944320 319311490 335933184 383173788 419916480 478967235 510898384 559888640 638622980 671866368 766347576 839832960 957934470 1021796768 1119777280 1277245960 1532695152 1679665920 1915868940 2043593536 2554491920 3065390304 3359331840 3831737880 4087187072 5108983840 6130780608 7663475760 8174374144 10217967680 12261561216 15326951520 16348748288 20435935360 24523122432 30653903040 40871870720 49046244864 61307806080 81743741440 122615612160 245231224320