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22144220424040 = 23511133871367207
BaseRepresentation
bin1010000100011110110100…
…11001000110011101101000
32220101222002210110222202111
411002033122121012131220
510400302330412032130
6115032525303212104
74443603265633351
oct502173231063550
986358083428674
1022144220424040
117068347149010
122597846747034
13c482638b7210
14567b00a6ad28
1528604e34b02a
hex1423da646768

22144220424040 has 64 divisors (see below), whose sum is σ = 58535072184960. Its totient is φ = 7433025035520.

The previous prime is 22144220423993. The next prime is 22144220424049. The reversal of 22144220424040 is 4042402244122.

It is a junction number, because it is equal to n+sod(n) for n = 22144220423993 and 22144220424011.

It is not an unprimeable number, because it can be changed into a prime (22144220424049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1935677884 + ... + 1935689323.

It is an arithmetic number, because the mean of its divisors is an integer number (914610502890).

Almost surely, 222144220424040 is an apocalyptic number.

22144220424040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22144220424040 is an abundant number, since it is smaller than the sum of its proper divisors (36390851760920).

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

22144220424040 is a wasteful number, since it uses less digits than its factorization.

22144220424040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3871367242 (or 3871367238 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 31.

Adding to 22144220424040 its reverse (4042402244122), we get a palindrome (26186622668162).

The spelling of 22144220424040 in words is "twenty-two trillion, one hundred forty-four billion, two hundred twenty million, four hundred twenty-four thousand, forty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 88 104 110 130 143 220 260 286 440 520 572 715 1144 1430 2860 5720 3871367207 7742734414 15485468828 19356836035 30970937656 38713672070 42585039277 50327773691 77427344140 85170078554 100655547382 154854688280 170340157108 201311094764 212925196385 251638868455 340680314216 402622189528 425850392770 503277736910 553605510601 851700785540 1006555473820 1107211021202 1703401571080 2013110947640 2214422042404 2768027553005 4428844084808 5536055106010 11072110212020 22144220424040