Search a number
-
+
211502005540 = 225723137188159
BaseRepresentation
bin1100010011111010000…
…0000111110100100100
3202012220221100002212121
43010332200013310210
511431124003134130
6241055045555324
721165134245600
oct3047640076444
9665827302777
10211502005540
1181774406201
1234ba7715b44
1316c38251707
14a34590a500
15577d125d7a
hex313e807d24

211502005540 has 144 divisors (see below), whose sum is σ = 547753328640. Its totient is φ = 68278775040.

The previous prime is 211502005523. The next prime is 211502005543. The reversal of 211502005540 is 45500205112.

It is not an unprimeable number, because it can be changed into a prime (211502005543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1029981 + ... + 1218139.

It is an arithmetic number, because the mean of its divisors is an integer number (3803842560).

Almost surely, 2211502005540 is an apocalyptic number.

211502005540 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 211502005540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273876664320).

211502005540 is an abundant number, since it is smaller than the sum of its proper divisors (336251323100).

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

211502005540 is a wasteful number, since it uses less digits than its factorization.

211502005540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188250 (or 188241 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 25.

The spelling of 211502005540 in words is "two hundred eleven billion, five hundred two million, five thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 37 49 62 70 74 98 124 140 148 155 185 196 217 245 259 310 370 434 490 518 620 740 868 980 1036 1085 1147 1295 1519 1813 2170 2294 2590 3038 3626 4340 4588 5180 5735 6076 7252 7595 8029 9065 11470 15190 16058 18130 22940 30380 32116 36260 40145 56203 80290 112406 160580 188159 224812 281015 376318 562030 752636 940795 1124060 1317113 1881590 2634226 3763180 5268452 5832929 6585565 6961883 9219791 11665858 13171130 13923766 18439582 23331716 26342260 27847532 29164645 34809415 36879164 40830503 46098955 48733181 58329290 69618830 81661006 92197910 97466362 116658580 139237660 163322012 184395820 194932724 204152515 215818373 243665905 285813521 341132267 408305030 431636746 487331810 571627042 682264534 816610060 863273492 974663620 1079091865 1143254084 1364529068 1429067605 1510728611 1705661335 2158183730 2858135210 3021457222 3411322670 4316367460 5716270420 6042914444 6822645340 7553643055 10575100277 15107286110 21150200554 30214572220 42300401108 52875501385 105751002770 211502005540