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21227163144 = 233113710919937
BaseRepresentation
bin10011110001001111…
…001100111000001000
32000210100122121121120
4103301033030320020
5321433123210034
613430203435240
71351012624005
oct236117147010
960710577546
1021227163144
1190031a8940
124144b25b20
1320039bca85
1410552868ac
1584386ec49
hex4f13cce08

21227163144 has 128 divisors (see below), whose sum is σ = 60005404800. Its totient is φ = 6200893440.

The previous prime is 21227163137. The next prime is 21227163163. The reversal of 21227163144 is 44136172212.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 1054744 + ... + 1074680.

It is an arithmetic number, because the mean of its divisors is an integer number (468792225).

Almost surely, 221227163144 is an apocalyptic number.

21227163144 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 21227163144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30002702400).

21227163144 is an abundant number, since it is smaller than the sum of its proper divisors (38778241656).

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

21227163144 is a wasteful number, since it uses less digits than its factorization.

21227163144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20103 (or 20099 counting only the distinct ones).

The product of its digits is 16128, while the sum is 33.

The spelling of 21227163144 in words is "twenty-one billion, two hundred twenty-seven million, one hundred sixty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 37 44 66 74 88 109 111 132 148 218 222 264 296 327 407 436 444 654 814 872 888 1199 1221 1308 1628 2398 2442 2616 3256 3597 4033 4796 4884 7194 8066 9592 9768 12099 14388 16132 19937 24198 28776 32264 39874 44363 48396 59811 79748 88726 96792 119622 133089 159496 177452 219307 239244 266178 354904 438614 478488 532356 657921 737669 877228 1064712 1315842 1475338 1754456 2173133 2213007 2631684 2950676 4346266 4426014 5263368 5901352 6519399 8114359 8692532 8852028 13038798 16228718 17385064 17704056 23904463 24343077 26077596 32457436 47808926 48686154 52155192 64914872 71713389 80405921 95617852 97372308 143426778 160811842 191235704 194744616 241217763 286853556 321623684 482435526 573707112 643247368 884465131 964871052 1768930262 1929742104 2653395393 3537860524 5306790786 7075721048 10613581572 21227163144