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22240134020 = 225131635091031
BaseRepresentation
bin10100101101100111…
…011000001110000100
32010101221201212102102
4110231213120032010
5331021433242040
614114511131232
71415063006606
oct245547301604
963357655372
1022240134020
119482a80955
124388213b18
13213581bb20
14110da0d176
158a2764515
hex52d9d8384

22240134020 has 96 divisors (see below), whose sum is σ = 50754090240. Its totient is φ = 8137428480.

The previous prime is 22240134019. The next prime is 22240134023. The reversal of 22240134020 is 2043104222.

It is a super-2 number, since 2×222401340202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 22240133983 and 22240134001.

It is not an unprimeable number, because it can be changed into a prime (22240134023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21570905 + ... + 21571935.

It is an arithmetic number, because the mean of its divisors is an integer number (528688440).

Almost surely, 222240134020 is an apocalyptic number.

22240134020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22240134020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25377045120).

22240134020 is an abundant number, since it is smaller than the sum of its proper divisors (28513956220).

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

22240134020 is a wasteful number, since it uses less digits than its factorization.

22240134020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1725 (or 1723 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 22240134020 its reverse (2043104222), we get a palindrome (24283238242).

The spelling of 22240134020 in words is "twenty-two billion, two hundred forty million, one hundred thirty-four thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 163 260 326 509 652 815 1018 1031 1630 2036 2062 2119 2545 3260 4124 4238 5090 5155 6617 8476 10180 10310 10595 13234 13403 20620 21190 26468 26806 33085 42380 53612 66170 67015 82967 132340 134030 165934 168053 268060 331868 336106 414835 524779 672212 829670 840265 1049558 1078571 1659340 1680530 2099116 2157142 2184689 2623895 3361060 4314284 4369378 5247790 5392855 6822127 8738756 10495580 10785710 10923445 13644254 21571420 21846890 27288508 34110635 43693780 68221270 85538977 136442540 171077954 342155908 427694885 855389770 1112006701 1710779540 2224013402 4448026804 5560033505 11120067010 22240134020