Search a number
-
+
216556600 = 235213243149
BaseRepresentation
bin11001110100001…
…10010000111000
3120002111012210211
430322012100320
5420414302400
633253320504
75236462231
oct1472062070
9502435724
10216556600
111012711a7
1260636134
1335b33300
1420a92088
1514029dba
hexce86438

216556600 has 144 divisors (see below), whose sum is σ = 561627000. Its totient is φ = 77575680.

The previous prime is 216556583. The next prime is 216556621. The reversal of 216556600 is 6655612.

It is a super-2 number, since 2×2165566002 = 93793522007120000, which 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 35 ways as a sum of consecutive naturals, for example, 1453326 + ... + 1453474.

Almost surely, 2216556600 is an apocalyptic number.

216556600 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 216556600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280813500).

216556600 is an abundant number, since it is smaller than the sum of its proper divisors (345070400).

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

216556600 is a wasteful number, since it uses less digits than its factorization.

216556600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 31.

The square root of 216556600 is about 14715.8621901675. The cubic root of 216556600 is about 600.5149283253.

It can be divided in two parts, 216556 and 600, that added together give a square (217156 = 4662).

The spelling of 216556600 in words is "two hundred sixteen million, five hundred fifty-six thousand, six hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 43 50 52 65 86 100 104 130 149 169 172 200 215 260 298 325 338 344 430 520 559 596 650 676 745 845 860 1075 1118 1192 1300 1352 1490 1690 1720 1937 2150 2236 2600 2795 2980 3380 3725 3874 4225 4300 4472 5590 5960 6407 6760 7267 7450 7748 8450 8600 9685 11180 12814 13975 14534 14900 15496 16900 19370 22360 25181 25628 27950 29068 29800 32035 33800 36335 38740 48425 50362 51256 55900 58136 64070 72670 77480 83291 96850 100724 111800 125905 128140 145340 160175 166582 181675 193700 201448 251810 256280 290680 320350 333164 363350 387400 416455 503620 629525 640700 666328 726700 832910 1007240 1082783 1259050 1281400 1453400 1665820 2082275 2165566 2518100 3331640 4164550 4331132 5036200 5413915 8329100 8662264 10827830 16658200 21655660 27069575 43311320 54139150 108278300 216556600