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222206140 = 2251319311451
BaseRepresentation
bin11010011111010…
…01100010111100
3120111010020112001
431033221202330
5423341044030
634014352044
75335502212
oct1517514274
9514106461
10222206140
1110447a842
12624bb624
1337060930
1421722cb2
1514793cca
hexd3e98bc

222206140 has 96 divisors (see below), whose sum is σ = 546416640. Its totient is φ = 75168000.

The previous prime is 222206137. The next prime is 222206141. The reversal of 222206140 is 41602222.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222206141) 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, 152415 + ... + 153865.

It is an arithmetic number, because the mean of its divisors is an integer number (5691840).

Almost surely, 2222206140 is an apocalyptic number.

222206140 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 222206140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273208320).

222206140 is an abundant number, since it is smaller than the sum of its proper divisors (324210500).

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

222206140 is a wasteful number, since it uses less digits than its factorization.

222206140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1523 (or 1521 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 222206140 is about 14906.5804261071. The cubic root of 222206140 is about 605.6922522563.

Adding to 222206140 its reverse (41602222), we get a palindrome (263808362).

The spelling of 222206140 in words is "two hundred twenty-two million, two hundred six thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 19 20 26 31 38 52 62 65 76 95 124 130 155 190 247 260 310 380 403 494 589 620 806 988 1178 1235 1451 1612 2015 2356 2470 2902 2945 4030 4940 5804 5890 7255 7657 8060 11780 14510 15314 18863 27569 29020 30628 37726 38285 44981 55138 75452 76570 89962 94315 110276 137845 153140 179924 188630 224905 275690 358397 377260 449810 551380 584753 716794 854639 899620 1169506 1433588 1709278 1791985 2339012 2923765 3418556 3583970 4273195 5847530 7167940 8546390 11110307 11695060 17092780 22220614 44441228 55551535 111103070 222206140