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224101896007440 = 243511131647992991
BaseRepresentation
bin110010111101000111001001…
…111001111010111100010000
31002101110221011110002202122210
4302331013021321322330100
5213333141140334214230
62112342553442432120
765126553616201533
oct6275071171727420
91071427143082583
10224101896007440
1165451097a76550
1221174547662640
139807944914269
143d4a837d8aa1a
151ad96107d9eb0
hexcbd1c9e7af10

224101896007440 has 160 divisors (see below), whose sum is σ = 763657149100032. Its totient is φ = 53913016768000.

The previous prime is 224101896007399. The next prime is 224101896007453. The reversal of 224101896007440 is 44700698101422.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 224101896007440.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 323650656 + ... + 324342335.

Almost surely, 2224101896007440 is an apocalyptic number.

224101896007440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224101896007440 is an abundant number, since it is smaller than the sum of its proper divisors (539555253092592).

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

224101896007440 is a wasteful number, since it uses less digits than its factorization.

224101896007440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647993149 (or 647993143 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The spelling of 224101896007440 in words is "two hundred twenty-four trillion, one hundred one billion, eight hundred ninety-six million, seven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 131 132 165 176 220 240 262 264 330 393 440 524 528 655 660 786 880 1048 1310 1320 1441 1572 1965 2096 2620 2640 2882 3144 3930 4323 5240 5764 6288 7205 7860 8646 10480 11528 14410 15720 17292 21615 23056 28820 31440 34584 43230 57640 69168 86460 115280 172920 345840 647992991 1295985982 1943978973 2591971964 3239964955 3887957946 5183943928 6479929910 7127922901 7775915892 9719894865 10367887856 12959859820 14255845802 15551831784 19439789730 21383768703 25919719640 28511691604 31103663568 35639614505 38879579460 42767537406 51839439280 57023383208 71279229010 77759158920 84887081821 85535074812 106918843515 114046766416 142558458020 155518317840 169774163642 171070149624 213837687030 254661245463 285116916040 339548327284 342140299248 424435409105 427675374060 509322490926 570233832080 679096654568 848870818210 855350748120 933757900031 1018644981852 1273306227315 1358193309136 1697741636420 1710701496240 1867515800062 2037289963704 2546612454630 2801273700093 3395483272840 3735031600124 4074579927408 4668789500155 5093224909260 5602547400186 6790966545680 7470063200248 9337579000310 10186449818520 11205094800372 14006368500465 14940126400496 18675158000620 20372899637040 22410189600744 28012737000930 37350316001240 44820379201488 56025474001860 74700632002480 112050948003720 224101896007440