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22201432442320 = 245334098306681
BaseRepresentation
bin1010000110001001011000…
…11111101000010111010000
32220121102202222222122120111
411003010230133220113100
510402222013201123240
6115115110335251104
74451000123026435
oct503045437502720
986542688878514
1022201432442320
11708a63590714a
1225a6952979a94
13c50780864581
1456a7ab147b8c
1528779be3a1ea
hex14312c7e85d0

22201432442320 has 40 divisors (see below), whose sum is σ = 51619881685320. Its totient is φ = 8880306094080.

The previous prime is 22201432442317. The next prime is 22201432442323. The reversal of 22201432442320 is 2324423410222.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (22201432442317) and next prime (22201432442323).

It can be written as a sum of positive squares in 4 ways, for example, as 2712174209424 + 19489258232896 = 1646868^2 + 4414664^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22201432442323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1480621 + ... + 6826060.

It is an arithmetic number, because the mean of its divisors is an integer number (1290497042133).

Almost surely, 222201432442320 is an apocalyptic number.

22201432442320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22201432442320 is an abundant number, since it is smaller than the sum of its proper divisors (29418449243000).

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

22201432442320 is a wasteful number, since it uses less digits than its factorization.

22201432442320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8340103 (or 8340097 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 31.

Adding to 22201432442320 its reverse (2324423410222), we get a palindrome (24525855852542).

The spelling of 22201432442320 in words is "twenty-two trillion, two hundred one billion, four hundred thirty-two million, four hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 33409 66818 133636 167045 267272 334090 534544 668180 1336360 2672720 8306681 16613362 33226724 41533405 66453448 83066810 132906896 166133620 332267240 664534480 277517905529 555035811058 1110071622116 1387589527645 2220143244232 2775179055290 4440286488464 5550358110580 11100716221160 22201432442320