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22625141040 = 2432531423807
BaseRepresentation
bin10101000100100100…
…000100000100110000
32011101210012020202200
4111010210010010300
5332314014003130
614221023143200
71430446345215
oct250444040460
964353166680
1022625141040
119660336377
124475144b00
132197511028
141148bcdb0c
158c6465760
hex544904130

22625141040 has 60 divisors (see below), whose sum is σ = 75982767744. Its totient is φ = 6033370752.

The previous prime is 22625141023. The next prime is 22625141051. The reversal of 22625141040 is 4014152622.

22625141040 is a `hidden beast` number, since 22 + 625 + 1 + 4 + 10 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

It is a junction number, because it is equal to n+sod(n) for n = 22625140995 and 22625141013.

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, 15711184 + ... + 15712623.

Almost surely, 222625141040 is an apocalyptic number.

22625141040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22625141040 is an abundant number, since it is smaller than the sum of its proper divisors (53357626704).

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

22625141040 is a wasteful number, since it uses less digits than its factorization.

22625141040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31423826 (or 31423817 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 22625141040 its reverse (4014152622), we get a palindrome (26639293662).

The spelling of 22625141040 in words is "twenty-two billion, six hundred twenty-five million, one hundred forty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 31423807 62847614 94271421 125695228 157119035 188542842 251390456 282814263 314238070 377085684 471357105 502780912 565628526 628476140 754171368 942714210 1131257052 1256952280 1414071315 1508342736 1885428420 2262514104 2513904560 2828142630 3770856840 4525028208 5656285260 7541713680 11312570520 22625141040