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22212423100 = 22527194213967
BaseRepresentation
bin10100101011111101…
…101010110110111100
32010100000121000012001
4110223331222312330
5330442340014400
614112041152044
71414305324010
oct245375526674
963300530161
1022212423100
11946937426a
12437aa8b624
13212cb68a2a
14110a078540
158a00dda6a
hex52bf6adbc

22212423100 has 144 divisors (see below), whose sum is σ = 58138501120. Its totient is φ = 7195910400.

The previous prime is 22212423061. The next prime is 22212423113. The reversal of 22212423100 is 132421222.

It is a super-2 number, since 2×222124231002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5597317 + ... + 5601283.

Almost surely, 222212423100 is an apocalyptic number.

22212423100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22212423100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29069250560).

22212423100 is an abundant number, since it is smaller than the sum of its proper divisors (35926078020).

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

22212423100 is a wasteful number, since it uses less digits than its factorization.

22212423100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4428 (or 4421 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 22212423100 its reverse (132421222), we get a palindrome (22344844322).

The spelling of 22212423100 in words is "twenty-two billion, two hundred twelve million, four hundred twenty-three thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 19 20 25 28 35 38 50 70 76 95 100 133 140 175 190 266 350 380 421 475 532 665 700 842 950 1330 1684 1900 2105 2660 2947 3325 3967 4210 5894 6650 7934 7999 8420 10525 11788 13300 14735 15868 15998 19835 21050 27769 29470 31996 39670 39995 42100 55538 55993 58940 73675 75373 79340 79990 99175 111076 111986 138845 147350 150746 159980 198350 199975 223972 277690 279965 294700 301492 376865 396700 399950 527611 555380 559930 694225 753730 799900 1055222 1119860 1388450 1399825 1507460 1670107 1884325 2110444 2638055 2776900 2799650 3340214 3768650 5276110 5599300 6680428 7537300 8350535 10552220 11690749 13190275 16701070 23381498 26380550 31732033 33402140 41752675 46762996 52761100 58453745 63464066 83505350 116907490 126928132 158660165 167010700 222124231 233814980 292268725 317320330 444248462 584537450 634640660 793300825 888496924 1110621155 1169074900 1586601650 2221242310 3173203300 4442484620 5553105775 11106211550 22212423100