Search a number
-
+
21222201120 = 2535149296731
BaseRepresentation
bin10011110000111100…
…010001011100100000
32000210000022111222220
4103300330101130200
5321430340413440
613425505231040
71350622506321
oct236074213440
960700274886
1021222201120
11900041989a
124143332480
132002973373
141054754448
158431de8d0
hex4f0f11720

21222201120 has 96 divisors (see below), whose sum is σ = 67298817600. Its totient is φ = 5621253120.

The previous prime is 21222201047. The next prime is 21222201149. The reversal of 21222201120 is 2110222212.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×212222011203 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 21222201120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76846 + ... + 219885.

It is an arithmetic number, because the mean of its divisors is an integer number (701029350).

Almost surely, 221222201120 is an apocalyptic number.

21222201120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21222201120 is an abundant number, since it is smaller than the sum of its proper divisors (46076616480).

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

21222201120 is a wasteful number, since it uses less digits than its factorization.

21222201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296898 (or 296890 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 21222201120 its reverse (2110222212), we get a palindrome (23332423332).

The spelling of 21222201120 in words is "twenty-one billion, two hundred twenty-two million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 149 160 240 298 447 480 596 745 894 1192 1490 1788 2235 2384 2980 3576 4470 4768 5960 7152 8940 11920 14304 17880 23840 35760 71520 296731 593462 890193 1186924 1483655 1780386 2373848 2967310 3560772 4450965 4747696 5934620 7121544 8901930 9495392 11869240 14243088 17803860 23738480 28486176 35607720 44212919 47476960 71215440 88425838 132638757 142430880 176851676 221064595 265277514 353703352 442129190 530555028 663193785 707406704 884258380 1061110056 1326387570 1414813408 1768516760 2122220112 2652775140 3537033520 4244440224 5305550280 7074067040 10611100560 21222201120