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22223134242100 = 2252116110121115541
BaseRepresentation
bin1010000110110001110100…
…00001011011010100110100
32220200111210102202022020201
411003120322001123110310
510403100434331221400
6115133100020210244
74452365661212641
oct503307201332464
986614712668221
1022223134242100
117098861a18570
1225aabaa839984
13c5282b998a0c
1456b869462dc8
1528811c2b306a
hex14363a05b534

22223134242100 has 288 divisors, whose sum is σ = 54259477421184. Its totient is φ = 7832160000000.

The previous prime is 22223134242097. The next prime is 22223134242151. The reversal of 22223134242100 is 124243132222.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1429960330 + ... + 1429975870.

It is an arithmetic number, because the mean of its divisors is an integer number (188400963268).

Almost surely, 222223134242100 is an apocalyptic number.

22223134242100 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 22223134242100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27129738710592).

22223134242100 is an abundant number, since it is smaller than the sum of its proper divisors (32036343179084).

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

22223134242100 is a wasteful number, since it uses less digits than its factorization.

22223134242100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15939 (or 15932 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 22223134242100 its reverse (124243132222), we get a palindrome (22347377374322).

The spelling of 22223134242100 in words is "twenty-two trillion, two hundred twenty-three billion, one hundred thirty-four million, two hundred forty-two thousand, one hundred".