Search a number
-
+
21227728644 = 2235194326731
BaseRepresentation
bin10011110001010001…
…010110111100000100
32000210101201100100000
4103301101112330010
5321433244304034
613430223521300
71351020500463
oct236121267404
960711640300
1021227728644
1190035547a1
124145159230
132003b5a2a5
1410553929da
15843932599
hex4f1456f04

21227728644 has 144 divisors (see below), whose sum is σ = 59939559680. Its totient is φ = 6547353120.

The previous prime is 21227728637. The next prime is 21227728651. The reversal of 21227728644 is 44682772212.

It is an interprime number because it is at equal distance from previous prime (21227728637) and next prime (21227728651).

It is a self number, because there is not a number n which added to its sum of digits gives 21227728644.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 780759 + ... + 807489.

Almost surely, 221227728644 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 21227728644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29969779840).

21227728644 is an abundant number, since it is smaller than the sum of its proper divisors (38711831036).

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

21227728644 is a wasteful number, since it uses less digits than its factorization.

21227728644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26812 (or 26798 counting only the distinct ones).

The product of its digits is 602112, while the sum is 45.

The spelling of 21227728644 in words is "twenty-one billion, two hundred twenty-seven million, seven hundred twenty-eight thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 43 54 57 76 81 86 108 114 129 162 171 172 228 243 258 324 342 387 486 513 516 684 774 817 972 1026 1161 1539 1548 1634 2052 2322 2451 3078 3268 3483 4617 4644 4902 6156 6966 7353 9234 9804 10449 13932 14706 18468 20898 22059 26731 29412 41796 44118 53462 66177 80193 88236 106924 132354 160386 198531 240579 264708 320772 397062 481158 507889 721737 794124 962316 1015778 1149433 1443474 1523667 2031556 2165211 2298866 2886948 3047334 3448299 4330422 4571001 4597732 6094668 6495633 6896598 8660844 9142002 10344897 12991266 13713003 13793196 18284004 20689794 21839227 25982532 27426006 31034691 41139009 41379588 43678454 54852012 62069382 65517681 82278018 87356908 93104073 123417027 124138764 131035362 164556036 186208146 196553043 246834054 262070724 279312219 372416292 393106086 493668108 558624438 589659129 786212172 1117248876 1179318258 1768977387 2358636516 3537954774 5306932161 7075909548 10613864322 21227728644