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21022333024 = 2571183910169
BaseRepresentation
bin10011100101000001…
…110101100001100000
32000021002020011111211
4103211001311201200
5321023204124044
613354005315504
71342644611440
oct234501654140
960232204454
1021022333024
118a08616a50
1240a8405b94
131ca0434114
141035da8120
158308ae634
hex4e5075860

21022333024 has 96 divisors (see below), whose sum is σ = 51666854400. Its totient is φ = 8179952640.

The previous prime is 21022333009. The next prime is 21022333027. The reversal of 21022333024 is 42033322012.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 21022332986 and 21022333004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21022333027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2062212 + ... + 2072380.

It is an arithmetic number, because the mean of its divisors is an integer number (538196400).

Almost surely, 221022333024 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 21022333024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25833427200).

21022333024 is an abundant number, since it is smaller than the sum of its proper divisors (30644521376).

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

21022333024 is a wasteful number, since it uses less digits than its factorization.

21022333024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11036 (or 11028 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 21022333024 its reverse (42033322012), we get a palindrome (63055655036).

The spelling of 21022333024 in words is "twenty-one billion, twenty-two million, three hundred thirty-three thousand, twenty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 154 176 224 308 352 616 839 1232 1678 2464 3356 5873 6712 9229 10169 11746 13424 18458 20338 23492 26848 36916 40676 46984 64603 71183 73832 81352 93968 111859 129206 142366 147664 162704 187936 223718 258412 284732 295328 325408 447436 516824 569464 783013 894872 1033648 1138928 1566026 1789744 2067296 2277856 3132052 3579488 6264104 8531791 12528208 17063582 25056416 34127164 59722537 68254328 93849701 119445074 136508656 187699402 238890148 273017312 375398804 477780296 656947907 750797608 955560592 1313895814 1501595216 1911121184 2627791628 3003190432 5255583256 10511166512 21022333024