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22202134100 = 22524310350129
BaseRepresentation
bin10100101011010110…
…011010111001010100
32010022022020021022222
4110223112122321110
5330432221242400
614111032441512
71414122011636
oct245326327124
963268207288
1022202134100
119463586a63
124377549298
13212a9a5773
14110895aa56
1589e25a185
hex52b59ae54

22202134100 has 72 divisors (see below), whose sum is σ = 49778688960. Its totient is φ = 8589934080.

The previous prime is 22202134093. The next prime is 22202134121. The reversal of 22202134100 is 143120222.

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, 417836 + ... + 467964.

It is an arithmetic number, because the mean of its divisors is an integer number (691370680).

Almost surely, 222202134100 is an apocalyptic number.

22202134100 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 22202134100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24889344480).

22202134100 is an abundant number, since it is smaller than the sum of its proper divisors (27576554860).

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

22202134100 is a wasteful number, since it uses less digits than its factorization.

22202134100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50289 (or 50282 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 22202134100 its reverse (143120222), we get a palindrome (22345254322).

The spelling of 22202134100 in words is "twenty-two billion, two hundred two million, one hundred thirty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 43 50 86 100 103 172 206 215 412 430 515 860 1030 1075 2060 2150 2575 4300 4429 5150 8858 10300 17716 22145 44290 50129 88580 100258 110725 200516 221450 250645 442900 501290 1002580 1253225 2155547 2506450 4311094 5012900 5163287 8622188 10326574 10777735 20653148 21555470 25816435 43110940 51632870 53888675 103265740 107777350 129082175 215554700 222021341 258164350 444042682 516328700 888085364 1110106705 2220213410 4440426820 5550533525 11101067050 22202134100