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21220233144 = 23311195877207
BaseRepresentation
bin10011110000110100…
…110000111110111000
32000202212121112102220
4103300310300332320
5321424334430034
613425355124040
71350600001635
oct236064607670
960685545386
1021220233144
118aaa2a5270
124142743620
132002434696
1410543a118c
15842e51749
hex4f0d30fb8

21220233144 has 128 divisors (see below), whose sum is σ = 61031577600. Its totient is φ = 6080711040.

The previous prime is 21220233137. The next prime is 21220233161. The reversal of 21220233144 is 44133202212.

It is a happy number.

It is a super-2 number, since 2×212202331442 (a number of 21 digits) contains 22 as substring.

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

It is a congruent 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, 2940789 + ... + 2947995.

It is an arithmetic number, because the mean of its divisors is an integer number (476809200).

Almost surely, 221220233144 is an apocalyptic number.

21220233144 is a gapful number since it is divisible by the number (24) 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 21220233144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30515788800).

21220233144 is an abundant number, since it is smaller than the sum of its proper divisors (39811344456).

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

21220233144 is a wasteful number, since it uses less digits than its factorization.

21220233144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7833 (or 7829 counting only the distinct ones).

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

Adding to 21220233144 its reverse (44133202212), we get a palindrome (65353435356).

The spelling of 21220233144 in words is "twenty-one billion, two hundred twenty million, two hundred thirty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 19 22 24 33 38 44 57 66 76 88 114 132 152 209 228 264 418 456 587 627 836 1174 1254 1672 1761 2348 2508 3522 4696 5016 6457 7044 7207 11153 12914 14088 14414 19371 21621 22306 25828 28828 33459 38742 43242 44612 51656 57656 66918 77484 79277 86484 89224 122683 133836 136933 154968 158554 172968 237831 245366 267672 273866 317108 368049 410799 475662 490732 547732 634216 736098 821598 951324 981464 1095464 1472196 1506263 1643196 1902648 2944392 3012526 3286392 4230509 4518789 6025052 8461018 9037578 12050104 12691527 16922036 18075156 25383054 33844072 36150312 46535599 50766108 80379671 93071198 101532216 139606797 160759342 186142396 241139013 279213594 321518684 372284792 482278026 558427188 643037368 884176381 964556052 1116854376 1768352762 1929112104 2652529143 3536705524 5305058286 7073411048 10610116572 21220233144