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21220212199932 = 223217911292916757
BaseRepresentation
bin1001101001100101101110…
…01101011101000111111100
32210010122002001222202110200
410310302313031131013330
510240132443310344212
6113044233024203500
74320052432420344
oct464626715350774
983118061882420
1021220212199932
116841494639099
122468752169590
13bac099212655
145350c6d07d24
1526bebe2566dc
hex134cb735d1fc

21220212199932 has 72 divisors (see below), whose sum is σ = 53987440525200. Its totient is φ = 7027655240448.

The previous prime is 21220212199931. The next prime is 21220212200003. The reversal of 21220212199932 is 23999121202212.

21220212199932 is a `hidden beast` number, since 21 + 220 + 212 + 199 + 9 + 3 + 2 = 666.

It is a super-2 number, since 2×212202121999322 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21220212199931) 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, 5816898 + ... + 8733654.

It is an arithmetic number, because the mean of its divisors is an integer number (749825562850).

Almost surely, 221220212199932 is an apocalyptic number.

It is an amenable number.

21220212199932 is an abundant number, since it is smaller than the sum of its proper divisors (32767228325268).

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

21220212199932 is a wasteful number, since it uses less digits than its factorization.

21220212199932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2918075 (or 2918070 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 21220212199932 in words is "twenty-one trillion, two hundred twenty billion, two hundred twelve million, one hundred ninety-nine thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 179 358 537 716 1074 1129 1611 2148 2258 3222 3387 4516 6444 6774 10161 13548 20322 40644 202091 404182 606273 808364 1212546 1818819 2425092 2916757 3637638 5833514 7275276 8750271 11667028 17500542 26250813 35001084 52501626 105003252 522099503 1044199006 1566298509 2088398012 3132597018 3293018653 4698895527 6265194036 6586037306 9397791054 9879055959 13172074612 18795582108 19758111918 29637167877 39516223836 59274335754 118548671508 589450338887 1178900677774 1768351016661 2357801355548 3536702033322 5305053049983 7073404066644 10610106099966 21220212199932