Search a number
-
+
215245500240 = 24358310999133
BaseRepresentation
bin1100100001110110100…
…0011010111101010000
3202120120211101100012110
43020131220122331100
512011310322001430
6242514334025320
721356661364401
oct3103550327520
9676524340173
10215245500240
1183315523181
1235871348240
13173b3993734
14a5bcb6d9a8
1558ebace7b0
hex321da1af50

215245500240 has 160 divisors (see below), whose sum is σ = 681502631040. Its totient is φ = 56186431488.

The previous prime is 215245500227. The next prime is 215245500251. The reversal of 215245500240 is 42005542512.

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

It is a junction number, because it is equal to n+sod(n) for n = 215245500198 and 215245500207.

It is a congruent number.

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, 2121714 + ... + 2220846.

It is an arithmetic number, because the mean of its divisors is an integer number (4259391444).

Almost surely, 2215245500240 is an apocalyptic number.

215245500240 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 215245500240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340751315520).

215245500240 is an abundant number, since it is smaller than the sum of its proper divisors (466257130800).

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

215245500240 is a wasteful number, since it uses less digits than its factorization.

215245500240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99341 (or 99335 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 30.

The spelling of 215245500240 in words is "two hundred fifteen billion, two hundred forty-five million, five hundred thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 83 109 120 166 218 240 249 327 332 415 436 498 545 654 664 830 872 996 1090 1245 1308 1328 1635 1660 1744 1992 2180 2490 2616 3270 3320 3984 4360 4980 5232 6540 6640 8720 9047 9960 13080 18094 19920 26160 27141 36188 45235 54282 72376 90470 99133 108564 135705 144752 180940 198266 217128 271410 297399 361880 396532 434256 495665 542820 594798 723760 793064 991330 1085640 1189596 1486995 1586128 1982660 2171280 2379192 2973990 3965320 4758384 5947980 7930640 8228039 10805497 11895960 16456078 21610994 23791920 24684117 32416491 32912156 41140195 43221988 49368234 54027485 64832982 65824312 82280390 86443976 98736468 108054970 123420585 129665964 131648624 162082455 164560780 172887952 197472936 216109940 246841170 259331928 324164910 329121560 394945872 432219880 493682340 518663856 648329820 658243120 864439760 896856251 987364680 1296659640 1793712502 1974729360 2593319280 2690568753 3587425004 4484281255 5381137506 7174850008 8968562510 10762275012 13452843765 14349700016 17937125020 21524550024 26905687530 35874250040 43049100048 53811375060 71748500080 107622750120 215245500240