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2225030040 = 2333517121189
BaseRepresentation
bin1000010010011111…
…0100001110011000
312202001210020102000
42010213310032120
514024101430130
61004442041000
7106065305022
oct20447641630
95661706360
102225030040
11a41a76002
125211a9160
13295c8642c
14171715012
15d0513260
hex849f4398

2225030040 has 128 divisors (see below), whose sum is σ = 7853112000. Its totient is φ = 558434304.

The previous prime is 2225030009. The next prime is 2225030077. The reversal of 2225030040 is 400305222.

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 = 2225029995 and 2225030022.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42235 + ... + 78954.

Almost surely, 22225030040 is an apocalyptic number.

2225030040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2225030040 is an abundant number, since it is smaller than the sum of its proper divisors (5628081960).

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

2225030040 is a wasteful number, since it uses less digits than its factorization.

2225030040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121226 (or 121216 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 2225030040 is about 47170.2240825714. The cubic root of 2225030040 is about 1305.5052608186.

Adding to 2225030040 its reverse (400305222), we get a palindrome (2625335262).

The spelling of 2225030040 in words is "two billion, two hundred twenty-five million, thirty thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 27 30 34 36 40 45 51 54 60 68 72 85 90 102 108 120 135 136 153 170 180 204 216 255 270 306 340 360 408 459 510 540 612 680 765 918 1020 1080 1224 1530 1836 2040 2295 3060 3672 4590 6120 9180 18360 121189 242378 363567 484756 605945 727134 969512 1090701 1211890 1454268 1817835 2060213 2181402 2423780 2908536 3272103 3635670 4120426 4362804 4847560 5453505 6180639 6544206 7271340 8240852 8725608 10301065 10907010 12361278 13088412 14542680 16360515 16481704 18541917 20602130 21814020 24722556 26176824 30903195 32721030 37083834 41204260 43628040 49445112 55625751 61806390 65442060 74167668 82408520 92709585 111251502 123612780 130884120 148335336 185419170 222503004 247225560 278128755 370838340 445006008 556257510 741676680 1112515020 2225030040