Search a number
-
+
211234023240 = 23354761613981
BaseRepresentation
bin1100010010111010000…
…1110110011101001000
3202012020021002012021020
43010232201312131020
511430101402220430
6241012314112440
721155401400232
oct3045641663510
9665207065236
10211234023240
1181647110129
1234b31a1b720
1316bc48840c6
14a31c0ad252
15576483db10
hex312e876748

211234023240 has 128 divisors (see below), whose sum is σ = 657795755520. Its totient is φ = 54226713600.

The previous prime is 211234023191. The next prime is 211234023347. The reversal of 211234023240 is 42320432112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 211234023240.

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, 37050 + ... + 651030.

It is an arithmetic number, because the mean of its divisors is an integer number (5139029340).

Almost surely, 2211234023240 is an apocalyptic number.

211234023240 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 211234023240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328897877760).

211234023240 is an abundant number, since it is smaller than the sum of its proper divisors (446561732280).

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

211234023240 is a wasteful number, since it uses less digits than its factorization.

211234023240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614103 (or 614099 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 211234023240 its reverse (42320432112), we get a palindrome (253554455352).

The spelling of 211234023240 in words is "two hundred eleven billion, two hundred thirty-four million, twenty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 47 60 61 94 120 122 141 183 188 235 244 282 305 366 376 470 488 564 610 705 732 915 940 1128 1220 1410 1464 1830 1880 2440 2820 2867 3660 5640 5734 7320 8601 11468 14335 17202 22936 28670 34404 43005 57340 68808 86010 114680 172020 344040 613981 1227962 1841943 2455924 3069905 3683886 4911848 6139810 7367772 9209715 12279620 14735544 18419430 24559240 28857107 36838860 37452841 57714214 73677720 74905682 86571321 112358523 115428428 144285535 149811364 173142642 187264205 224717046 230856856 288571070 299622728 346285284 374528410 432856605 449434092 561792615 577142140 692570568 749056820 865713210 898868184 1123585230 1154284280 1498113640 1731426420 1760283527 2247170460 3462852840 3520567054 4494340920 5280850581 7041134108 8801417635 10561701162 14082268216 17602835270 21123402324 26404252905 35205670540 42246804648 52808505810 70411341080 105617011620 211234023240