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21222231330 = 23523971092909
BaseRepresentation
bin10011110000111100…
…011000110100100010
32000210000101001102210
4103300330120310202
5321430342400310
613425510022550
71350622663356
oct236074306442
960700331383
1021222231330
11900043a563
124143347a56
132002984041
141054761466
158431e8820
hex4f0f18d22

21222231330 has 128 divisors (see below), whose sum is σ = 54207014400. Its totient is φ = 5306425344.

The previous prime is 21222231319. The next prime is 21222231391. The reversal of 21222231330 is 3313222212.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 21222231297 and 21222231306.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7293916 + ... + 7296824.

It is an arithmetic number, because the mean of its divisors is an integer number (423492300).

Almost surely, 221222231330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21222231330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27103507200).

21222231330 is an abundant number, since it is smaller than the sum of its proper divisors (32984783070).

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

21222231330 is a wasteful number, since it uses less digits than its factorization.

21222231330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3148.

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 21222231330 its reverse (3313222212), we get a palindrome (24535453542).

The spelling of 21222231330 in words is "twenty-one billion, two hundred twenty-two million, two hundred thirty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 97 109 115 138 194 218 230 291 327 345 485 545 582 654 690 970 1090 1455 1635 2231 2507 2909 2910 3270 4462 5014 5818 6693 7521 8727 10573 11155 12535 13386 14545 15042 17454 21146 22310 25070 29090 31719 33465 37605 43635 52865 63438 66907 66930 75210 87270 105730 133814 158595 200721 243179 282173 317081 317190 334535 401442 486358 564346 634162 669070 729537 846519 951243 1003605 1215895 1410865 1459074 1585405 1693038 1902486 2007210 2431790 2821730 3170810 3647685 4232595 4756215 6489979 7292863 7295370 8465190 9512430 12979958 14585726 19469937 21878589 30756857 32449895 36464315 38939874 43757178 61513714 64899790 72928630 92270571 97349685 109392945 153784285 184541142 194699370 218785890 307568570 461352855 707407711 922705710 1414815422 2122223133 3537038555 4244446266 7074077110 10611115665 21222231330