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22638042230000 = 24549013251171
BaseRepresentation
bin1010010010110110101000…
…11101110010110011110000
32222011011202002022221001112
411021123110131302303300
510431400202302330000
6120051434550252452
74524354535010351
oct511332435626360
988134662287045
1022638042230000
11723881573691a
1226574a2657128
13c829b1a78372
14583989537d28
15293d02898235
hex1496d4772cf0

22638042230000 has 100 divisors (see below), whose sum is σ = 54815263382088. Its totient is φ = 9054176160000.

The previous prime is 22638042229991. The next prime is 22638042230029. The reversal of 22638042230000 is 3224083622.

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 90004415 + ... + 90255585.

Almost surely, 222638042230000 is an apocalyptic number.

22638042230000 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 22638042230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27407631691044).

22638042230000 is an abundant number, since it is smaller than the sum of its proper divisors (32177221152088).

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

22638042230000 is an equidigital number, since it uses as much as digits as its factorization.

22638042230000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260212 (or 260191 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

The spelling of 22638042230000 in words is "twenty-two trillion, six hundred thirty-eight billion, forty-two million, two hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 9013 10000 18026 36052 45065 72104 90130 144208 180260 225325 251171 360520 450650 502342 721040 901300 1004684 1126625 1255855 1802600 2009368 2253250 2511710 3605200 4018736 4506500 5023420 5633125 6279275 9013000 10046840 11266250 12558550 18026000 20093680 22532500 25117100 31396375 45065000 50234200 62792750 90130000 100468400 125585500 156981875 251171000 313963750 502342000 627927500 1255855000 2263804223 2511710000 4527608446 9055216892 11319021115 18110433784 22638042230 36220867568 45276084460 56595105575 90552168920 113190211150 181104337840 226380422300 282975527875 452760844600 565951055750 905521689200 1131902111500 1414877639375 2263804223000 2829755278750 4527608446000 5659510557500 11319021115000 22638042230000