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21223233232212 = 223114127114470531
BaseRepresentation
bin1001101001101011010110…
…10001110001110101010100
32210010220212121121002200010
410310311223101301311110
510240210140201412322
6113045452503320220
74320220334651544
oct464655321616524
983126777532603
1021223233232212
1168427a4964390
122469255a50070
13bac45b07c10b
145352d2227324
1526c0e95a220c
hex134d6b471d54

21223233232212 has 96 divisors (see below), whose sum is σ = 55544616142848. Its totient is φ = 6251268960000.

The previous prime is 21223233232147. The next prime is 21223233232291.

It is a happy number.

21223233232212 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 21223233232212.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5768614 + ... + 8701917.

It is an arithmetic number, because the mean of its divisors is an integer number (578589751488).

Almost surely, 221223233232212 is an apocalyptic number.

21223233232212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21223233232212 is an abundant number, since it is smaller than the sum of its proper divisors (34321382910636).

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

21223233232212 is a wasteful number, since it uses less digits than its factorization.

21223233232212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14470861 (or 14470859 counting only the distinct ones).

The product of its digits is 20736, while the sum is 30.

It can be divided in two parts, 2122323 and 3232212, that added together give a palindrome (5354535).

The spelling of 21223233232212 in words is "twenty-one trillion, two hundred twenty-three billion, two hundred thirty-three million, two hundred thirty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 41 44 66 82 123 132 164 246 271 451 492 542 813 902 1084 1353 1626 1804 2706 2981 3252 5412 5962 8943 11111 11924 17886 22222 33333 35772 44444 66666 122221 133332 244442 366663 488884 733326 1466652 14470531 28941062 43411593 57882124 86823186 159175841 173646372 318351682 477527523 593291771 636703364 955055046 1186583542 1779875313 1910110092 2373167084 3559750626 3921513901 6526209481 7119501252 7843027802 11764541703 13052418962 15686055604 19578628443 23529083406 26104837924 39157256886 43136652911 47058166812 78314513772 86273305822 129409958733 160782069941 172546611644 258819917466 321564139882 482346209823 517639834932 643128279764 964692419646 1768602769351 1929384839292 3537205538702 5305808308053 7074411077404 10611616616106 21223233232212