Search a number
-
+
211410221000 = 23531141945869
BaseRepresentation
bin1100010011100100000…
…1111111011111001000
3202012200112121222011012
43010321001333133020
511430432004033000
6241042010423052
721162641141306
oct3047101773710
9665615558135
10211410221000
1181727616110
1234b80a31a88
1316c22226434
14a337657276
155775045735
hex313907f7c8

211410221000 has 128 divisors (see below), whose sum is σ = 540972432000. Its totient is φ = 76691296000.

The previous prime is 211410220991. The next prime is 211410221017. The reversal of 211410221000 is 122014112.

It is a happy 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, 4586066 + ... + 4631934.

It is an arithmetic number, because the mean of its divisors is an integer number (4226347125).

Almost surely, 2211410221000 is an apocalyptic number.

211410221000 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 211410221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270486216000).

211410221000 is an abundant number, since it is smaller than the sum of its proper divisors (329562211000).

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

211410221000 is a wasteful number, since it uses less digits than its factorization.

211410221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46320 (or 46306 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 211410221000 its reverse (122014112), we get a palindrome (211532235112).

The spelling of 211410221000 in words is "two hundred eleven billion, four hundred ten million, two hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 419 440 500 550 838 1000 1100 1375 1676 2095 2200 2750 3352 4190 4609 5500 8380 9218 10475 11000 16760 18436 20950 23045 36872 41900 45869 46090 52375 83800 91738 92180 104750 115225 183476 184360 209500 229345 230450 366952 419000 458690 460900 504559 576125 917380 921800 1009118 1146725 1152250 1834760 2018236 2293450 2304500 2522795 4036472 4586900 4609000 5045590 5733625 9173800 10091180 11467250 12613975 19219111 20182360 22934500 25227950 38438222 45869000 50455900 63069875 76876444 96095555 100911800 126139750 153752888 192191110 211410221 252279500 384382220 422820442 480477775 504559000 768764440 845640884 960955550 1057051105 1691281768 1921911100 2114102210 2402388875 3843822200 4228204420 4804777750 5285255525 8456408840 9609555500 10570511050 19219111000 21141022100 26426277625 42282044200 52852555250 105705110500 211410221000