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22220511321040 = 245709391757957
BaseRepresentation
bin1010000110101100111011…
…01011110001101111010000
32220200021000122021002222021
411003112131223301233100
510403030101344233130
6115131543442021224
74452243661565524
oct503263553615720
986607018232867
1022220511321040
11709773639810a
1225aa598347814
13c5250145bc16
1456b69ad75d84
15288016da637a
hex14359daf1bd0

22220511321040 has 40 divisors (see below), whose sum is σ = 51735555933480. Its totient is φ = 8875668251136.

The previous prime is 22220511321013. The next prime is 22220511321053. The reversal of 22220511321040 is 4012311502222.

It can be written as a sum of positive squares in 4 ways, for example, as 67373470096 + 22153137850944 = 259564^2 + 4706712^2 .

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

It is a super-2 number, since 2×222205113210402 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22220511320996 and 22220511321014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 195822259 + ... + 195935698.

It is an arithmetic number, because the mean of its divisors is an integer number (1293388898337).

Almost surely, 222220511321040 is an apocalyptic number.

22220511321040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22220511321040 is an abundant number, since it is smaller than the sum of its proper divisors (29515044612440).

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

22220511321040 is a wasteful number, since it uses less digits than its factorization.

22220511321040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391758679 (or 391758673 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 22220511321040 its reverse (4012311502222), we get a palindrome (26232822823262).

The spelling of 22220511321040 in words is "twenty-two trillion, two hundred twenty billion, five hundred eleven million, three hundred twenty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 709 1418 2836 3545 5672 7090 11344 14180 28360 56720 391757957 783515914 1567031828 1958789785 3134063656 3917579570 6268127312 7835159140 15670318280 31340636560 277756391513 555512783026 1111025566052 1388781957565 2222051132104 2777563915130 4444102264208 5555127830260 11110255660520 22220511321040