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222142440 = 233513157907
BaseRepresentation
bin11010011110110…
…01111111101000
3120111000000010210
431033121333220
5423332024230
634013141120
75335115412
oct1517317750
9514000123
10222142440
111044369a3
126248a7a0
133703a940
14217079b2
151477eeb0
hexd3d9fe8

222142440 has 128 divisors (see below), whose sum is σ = 723058560. Its totient is φ = 54273024.

The previous prime is 222142439. The next prime is 222142447. The reversal of 222142440 is 44241222.

It is not an unprimeable number, because it can be changed into a prime (222142447) 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, 244467 + ... + 245373.

It is an arithmetic number, because the mean of its divisors is an integer number (5648895).

Almost surely, 2222142440 is an apocalyptic number.

222142440 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 222142440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361529280).

222142440 is an abundant number, since it is smaller than the sum of its proper divisors (500916120).

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

222142440 is a wasteful number, since it uses less digits than its factorization.

222142440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1091 (or 1087 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 222142440 is about 14904.4436326889. The cubic root of 222142440 is about 605.6343686414.

Adding to 222142440 its reverse (44241222), we get a palindrome (266383662).

The spelling of 222142440 in words is "two hundred twenty-two million, one hundred forty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 157 195 260 312 314 390 471 520 628 780 785 907 942 1256 1560 1570 1814 1884 2041 2355 2721 3140 3628 3768 4082 4535 4710 5442 6123 6280 7256 8164 9070 9420 10205 10884 11791 12246 13605 16328 18140 18840 20410 21768 23582 24492 27210 30615 35373 36280 40820 47164 48984 54420 58955 61230 70746 81640 94328 108840 117910 122460 141492 142399 176865 235820 244920 282984 284798 353730 427197 471640 569596 707460 711995 854394 1139192 1414920 1423990 1708788 1851187 2135985 2847980 3417576 3702374 4271970 5553561 5695960 7404748 8543940 9255935 11107122 14809496 17087880 18511870 22214244 27767805 37023740 44428488 55535610 74047480 111071220 222142440