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211222834144 = 25713741916427
BaseRepresentation
bin1100010010110111011…
…1001010101111100000
3202012012111000201201021
43010231313022233200
511430041021143034
6241011234215224
721155204316040
oct3045567125740
9665174021637
10211222834144
1181640868643
1234b2a124514
1316bc246723a
14a31a7d9720
15576387d6b4
hex312ddcabe0

211222834144 has 96 divisors (see below), whose sum is σ = 479892107520. Its totient is φ = 89643383808.

The previous prime is 211222834099. The next prime is 211222834159. The reversal of 211222834144 is 441438222112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12850059 + ... + 12866485.

It is an arithmetic number, because the mean of its divisors is an integer number (4998876120).

Almost surely, 2211222834144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211222834144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239946053760).

211222834144 is an abundant number, since it is smaller than the sum of its proper divisors (268669273376).

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

211222834144 is a wasteful number, since it uses less digits than its factorization.

211222834144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17000 (or 16992 counting only the distinct ones).

The product of its digits is 24576, while the sum is 34.

The spelling of 211222834144 in words is "two hundred eleven billion, two hundred twenty-two million, eight hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 137 224 274 419 548 838 959 1096 1676 1918 2192 2933 3352 3836 4384 5866 6704 7672 11732 13408 15344 16427 23464 30688 32854 46928 57403 65708 93856 114806 114989 131416 229612 229978 262832 401821 459224 459956 525664 803642 918448 919912 1607284 1836896 1839824 2250499 3214568 3679648 4500998 6429136 6882913 9001996 12858272 13765826 15753493 18003992 27531652 31506986 36007984 48180391 55063304 63013972 72015968 96360782 110126608 126027944 192721564 220253216 252055888 385443128 504111776 770886256 942959081 1541772512 1885918162 3771836324 6600713567 7543672648 13201427134 15087345296 26402854268 30174690592 52805708536 105611417072 211222834144