Search a number
-
+
21722777216 = 27731926041
BaseRepresentation
bin10100001110110001…
…110100011010000000
32002001220020102022022
4110032301310122000
5323442012332331
613551310301012
71366211363000
oct241661643200
962056212268
1021722777216
119237a3a048
124262ab7768
13208259a73a
1410a101a000
1587211d67b
hex50ec74680

21722777216 has 128 divisors (see below), whose sum is σ = 53125680000. Its totient is φ = 8819435520.

The previous prime is 21722777183. The next prime is 21722777221. The reversal of 21722777216 is 61277722712.

It is a tau number, because it is divible by the number of its divisors (128).

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, 821156 + ... + 847196.

It is an arithmetic number, because the mean of its divisors is an integer number (415044375).

Almost surely, 221722777216 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 21722777216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26562840000).

21722777216 is an abundant number, since it is smaller than the sum of its proper divisors (31402902784).

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

21722777216 is an equidigital number, since it uses as much as digits as its factorization.

21722777216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26095 (or 26069 counting only the distinct ones).

The product of its digits is 230496, while the sum is 44.

The spelling of 21722777216 in words is "twenty-one billion, seven hundred twenty-two million, seven hundred seventy-seven thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 49 56 64 76 98 112 128 133 152 196 224 266 304 343 392 448 532 608 686 784 896 931 1064 1216 1372 1568 1862 2128 2432 2744 3136 3724 4256 5488 6272 6517 7448 8512 10976 13034 14896 17024 21952 26041 26068 29792 43904 52082 52136 59584 104164 104272 119168 182287 208328 208544 364574 416656 417088 494779 729148 833312 834176 989558 1276009 1458296 1666624 1979116 2552018 2916592 3333248 3463453 3958232 5104036 5833184 6926906 7916464 8932063 10208072 11666368 13853812 15832928 17864126 20416144 23332736 24244171 27707624 31665856 35728252 40832288 48488342 55415248 63331712 71456504 81664576 96976684 110830496 142913008 163329152 169709197 193953368 221660992 285826016 339418394 387906736 443321984 571652032 678836788 775813472 1143304064 1357673576 1551626944 2715347152 3103253888 5430694304 10861388608 21722777216