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22221210022100 = 22521713795410949
BaseRepresentation
bin1010000110101110001110…
…10101000111000011010100
32220200022211022222210122022
411003113013111013003110
510403033014231201400
6115132141041352312
74452300204500045
oct503270725070324
986608738883568
1022221210022100
117097a6482a601
1225aa752338698
13c525b3134cbb
1456b725a928cc
152880583bdb85
hex1435c75470d4

22221210022100 has 72 divisors (see below), whose sum is σ = 51429173556600. Its totient is φ = 8304568913920.

The previous prime is 22221210022069. The next prime is 22221210022111. The reversal of 22221210022100 is 122001212222.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 2912954600644 + 19308255421456 = 1706738^2 + 4394116^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47472575 + ... + 47938374.

It is an arithmetic number, because the mean of its divisors is an integer number (714294077175).

Almost surely, 222221210022100 is an apocalyptic number.

22221210022100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22221210022100 is an abundant number, since it is smaller than the sum of its proper divisors (29207963534500).

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

22221210022100 is a wasteful number, since it uses less digits than its factorization.

22221210022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95411117 (or 95411110 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 22221210022100 its reverse (122001212222), we get a palindrome (22343211234322).

The spelling of 22221210022100 in words is "twenty-two trillion, two hundred twenty-one billion, two hundred ten million, twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 137 170 274 340 425 548 685 850 1370 1700 2329 2740 3425 4658 6850 9316 11645 13700 23290 46580 58225 116450 232900 95410949 190821898 381643796 477054745 954109490 1621986133 1908218980 2385273725 3243972266 4770547450 6487944532 8109930665 9541094900 13071300013 16219861330 26142600026 32439722660 40549653325 52285200052 65356500065 81099306650 130713000130 162198613300 222212100221 261426000260 326782500325 444424200442 653565000650 888848400884 1111060501105 1307130001300 2222121002210 4444242004420 5555302505525 11110605011050 22221210022100