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222142140 = 2232511151743
BaseRepresentation
bin11010011110110…
…01111010111100
3120110222222201200
431033121322330
5423332022030
634013135500
75335114503
oct1517317274
9513888650
10222142140
11104436750
126248a590
133703a76c
142170783a
151477ed60
hexd3d9ebc

222142140 has 144 divisors (see below), whose sum is σ = 740952576. Its totient is φ = 53424000.

The previous prime is 222142121. The next prime is 222142147. The reversal of 222142140 is 41241222.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222142147) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 298609 + ... + 299351.

It is an arithmetic number, because the mean of its divisors is an integer number (5145504).

Almost surely, 2222142140 is an apocalyptic number.

222142140 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 222142140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370476288).

222142140 is an abundant number, since it is smaller than the sum of its proper divisors (518810436).

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

222142140 is a wasteful number, since it uses less digits than its factorization.

222142140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 920 (or 915 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 222142140 is about 14904.4335685728. The cubic root of 222142140 is about 605.6340960080.

Adding to 222142140 its reverse (41241222), we get a palindrome (263383362).

The spelling of 222142140 in words is "two hundred twenty-two million, one hundred forty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 151 165 180 198 220 302 330 396 453 495 604 660 743 755 906 990 1359 1486 1510 1661 1812 1980 2229 2265 2718 2972 3020 3322 3715 4458 4530 4983 5436 6644 6687 6795 7430 8173 8305 8916 9060 9966 11145 13374 13590 14860 14949 16346 16610 19932 22290 24519 24915 26748 27180 29898 32692 33220 33435 40865 44580 49038 49830 59796 66870 73557 74745 81730 98076 99660 112193 122595 133740 147114 149490 163460 224386 245190 294228 298980 336579 367785 448772 490380 560965 673158 735570 1009737 1121930 1234123 1346316 1471140 1682895 2019474 2243860 2468246 3365790 3702369 4038948 4936492 5048685 6170615 6731580 7404738 10097370 11107107 12341230 14809476 18511845 20194740 22214214 24682460 37023690 44428428 55535535 74047380 111071070 222142140