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21212022304 = 251131273859
BaseRepresentation
bin10011110000010101…
…011100011000100000
32000202022011101021201
4103300111130120200
5321420234203204
613424503130544
71350440133424
oct236025343040
960668141251
1021212022304
118aa56a7350
12413ba43a54
13200081b2b5
141053264b84
1584237d9a4
hex4f055c620

21212022304 has 144 divisors (see below), whose sum is σ = 47775057120. Its totient is φ = 9192268800.

The previous prime is 21212022301. The next prime is 21212022373. The reversal of 21212022304 is 40322021212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21212022301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24693427 + ... + 24694285.

It is an arithmetic number, because the mean of its divisors is an integer number (331771230).

Almost surely, 221212022304 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 21212022304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23887528560).

21212022304 is an abundant number, since it is smaller than the sum of its proper divisors (26563034816).

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

21212022304 is a wasteful number, since it uses less digits than its factorization.

21212022304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1015 (or 976 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 21212022304 its reverse (40322021212), we get a palindrome (61534043516).

The spelling of 21212022304 in words is "twenty-one billion, two hundred twelve million, twenty-two thousand, three hundred four".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 73 88 124 146 176 248 292 341 352 496 584 682 803 859 961 992 1168 1364 1606 1718 1922 2263 2336 2728 3212 3436 3844 4526 5456 6424 6872 7688 9052 9449 10571 10912 12848 13744 15376 18104 18898 21142 24893 25696 26629 27488 30752 36208 37796 42284 49786 53258 62707 70153 72416 75592 84568 99572 106516 125414 140306 151184 169136 199144 213032 250828 280612 292919 302368 338272 398288 426064 501656 561224 585838 689777 771683 796576 825499 852128 1003312 1122448 1171676 1379554 1543366 1650998 1943917 2006624 2244896 2343352 2759108 3086732 3301996 3887834 4686704 5518216 6173464 6603992 7775668 9080489 9373408 11036432 12346928 13207984 15551336 18160978 21383087 22072864 24693856 26415968 31102672 36321956 42766174 60261427 62205344 72643912 85532348 120522854 145287824 171064696 241045708 290575648 342129392 482091416 662875697 684258784 964182832 1325751394 1928365664 2651502788 5303005576 10606011152 21212022304