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22004202020040 = 2332561122783389
BaseRepresentation
bin1010000000011010000001…
…01001010001110011001000
32212220120200200011002110200
411000031000221101303020
510341004101204120130
6114444331343012200
74430515432063152
oct500150051216310
985816620132420
1022004202020040
117013a25434759
12257468a89a060
13c37cab2803a6
1456101ac0bad2
152825a6be1760
hex140340a51cc8

22004202020040 has 48 divisors (see below), whose sum is σ = 71513656566300. Its totient is φ = 5867787205248.

The previous prime is 22004202020023. The next prime is 22004202020089. The reversal of 22004202020040 is 4002020240022.

22004202020040 is a `hidden beast` number, since 2 + 2 + 0 + 0 + 420 + 2 + 0 + 200 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 20395683080964 + 1608518939076 = 4516158^2 + 1268274^2 .

It is a super-3 number, since 3×220042020200403 (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22004202019995 and 22004202020022.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30561391335 + ... + 30561392054.

Almost surely, 222004202020040 is an apocalyptic number.

22004202020040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22004202020040 is an abundant number, since it is smaller than the sum of its proper divisors (49509454546260).

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

22004202020040 is a wasteful number, since it uses less digits than its factorization.

22004202020040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61122783406 (or 61122783399 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 22004202020040 its reverse (4002020240022), we get a palindrome (26006222260062).

The spelling of 22004202020040 in words is "twenty-two trillion, four billion, two hundred two million, twenty thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 61122783389 122245566778 183368350167 244491133556 305613916945 366736700334 488982267112 550105050501 611227833890 733473400668 916841750835 1100210101002 1222455667780 1466946801336 1833683501670 2200420202004 2444911335560 2750525252505 3667367003340 4400840404008 5501050505010 7334734006680 11002101010020 22004202020040