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1222555140 = 223358327277
BaseRepresentation
bin100100011011110…
…1011011000000100
310011012110020101000
41020313223120010
510000433231030
6321151333300
742203355462
oct11067533004
93135406330
101222555140
11578111854
122a1521230
13166390911
14b8521832
15724e3860
hex48deb604

1222555140 has 96 divisors (see below), whose sum is σ = 3849471360. Its totient is φ = 322075008.

The previous prime is 1222555129. The next prime is 1222555141. The reversal of 1222555140 is 415552221.

1222555140 is a `hidden beast` number, since 122 + 25 + 5 + 514 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1222555141) 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, 31182 + ... + 58458.

It is an arithmetic number, because the mean of its divisors is an integer number (40098660).

Almost surely, 21222555140 is an apocalyptic number.

1222555140 is a gapful number since it is divisible by the number (10) 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 1222555140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1924735680).

1222555140 is an abundant number, since it is smaller than the sum of its proper divisors (2626916220).

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

1222555140 is a wasteful number, since it uses less digits than its factorization.

1222555140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27378 (or 27370 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The square root of 1222555140 is about 34965.0559845112. The cubic root of 1222555140 is about 1069.2751780223.

The spelling of 1222555140 in words is "one billion, two hundred twenty-two million, five hundred fifty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 83 90 108 135 166 180 249 270 332 415 498 540 747 830 996 1245 1494 1660 2241 2490 2988 3735 4482 4980 7470 8964 11205 14940 22410 27277 44820 54554 81831 109108 136385 163662 245493 272770 327324 409155 490986 545540 736479 818310 981972 1227465 1472958 1636620 2263991 2454930 2945916 3682395 4527982 4909860 6791973 7364790 9055964 11319955 13583946 14729580 20375919 22639910 27167892 33959865 40751838 45279820 61127757 67919730 81503676 101879595 122255514 135839460 203759190 244511028 305638785 407518380 611277570 1222555140