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21221222202 = 2323724773251
BaseRepresentation
bin10011110000111000…
…100010011100111010
32000202221110210011200
4103300320202130322
5321430113102302
613425432235030
71350611261325
oct236070423472
960687423150
1021221222202
118aaa910374
124142b3ba76
1320026bc91b
14105457b7bc
1584309981c
hex4f0e2273a

21221222202 has 144 divisors (see below), whose sum is σ = 49117041792. Its totient is φ = 6617376000.

The previous prime is 21221222201. The next prime is 21221222219. The reversal of 21221222202 is 20222212212.

21221222202 is a `hidden beast` number, since 21 + 221 + 222 + 202 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21221222201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 84546577 + ... + 84546827.

It is an arithmetic number, because the mean of its divisors is an integer number (341090568).

Almost surely, 221221222202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21221222202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24558520896).

21221222202 is an abundant number, since it is smaller than the sum of its proper divisors (27895819590).

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

21221222202 is a wasteful number, since it uses less digits than its factorization.

21221222202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 21221222202 its reverse (20222212212), we get a palindrome (41443434414).

The spelling of 21221222202 in words is "twenty-one billion, two hundred twenty-one million, two hundred twenty-two thousand, two hundred two".

Divisors: 1 2 3 6 9 18 37 47 73 74 94 111 141 146 219 222 251 282 333 423 438 502 657 666 753 846 1314 1369 1506 1739 2259 2701 2738 3431 3478 4107 4518 5217 5402 6862 8103 8214 9287 10293 10434 11797 12321 15651 16206 18323 18574 20586 23594 24309 24642 27861 30879 31302 35391 36646 48618 54969 55722 61758 64343 70782 83583 99937 106173 109938 126947 128686 164907 167166 193029 199874 212346 253894 299811 329814 343619 380841 386058 436489 579087 599622 677951 687238 761682 861181 872978 899433 1030857 1142523 1158174 1309467 1355902 1722362 1798866 2033853 2061714 2285046 2583543 2618934 3092571 3928401 4067706 4697039 5167086 6101559 6185142 7750629 7856802 9394078 12203118 14091117 15501258 16150093 25084187 28182234 31863697 32300186 42273351 48450279 50168374 63727394 75252561 84546702 95591091 96900558 145350837 150505122 191182182 225757683 286773273 290701674 451515366 573546546 1178956789 2357913578 3536870367 7073740734 10610611101 21221222202