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4492222440 = 2335194674219
BaseRepresentation
bin1000010111100000…
…11101111111101000
3102121001220112200220
410023300131333220
533200002104230
62021431530040
7216215155266
oct41360357750
912531815626
104492222440
1119a5819232
12a54529920
135678b26b4
14308883436
151b45a3d10
hex10bc1dfe8

4492222440 has 128 divisors (see below), whose sum is σ = 14219712000. Its totient is φ = 1132178688.

The previous prime is 4492222411. The next prime is 4492222463. The reversal of 4492222440 is 442222944.

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, 1062651 + ... + 1066869.

It is an arithmetic number, because the mean of its divisors is an integer number (111091500).

Almost surely, 24492222440 is an apocalyptic number.

4492222440 is a gapful number since it is divisible by the number (40) 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 4492222440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7109856000).

4492222440 is an abundant number, since it is smaller than the sum of its proper divisors (9727489560).

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

4492222440 is a wasteful number, since it uses less digits than its factorization.

4492222440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4719 (or 4715 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

The square root of 4492222440 is about 67024.0437455097. The cubic root of 4492222440 is about 1650.0119301249.

The spelling of 4492222440 in words is "four billion, four hundred ninety-two million, two hundred twenty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 467 570 760 934 1140 1401 1868 2280 2335 2802 3736 4219 4670 5604 7005 8438 8873 9340 11208 12657 14010 16876 17746 18680 21095 25314 26619 28020 33752 35492 42190 44365 50628 53238 56040 63285 70984 80161 84380 88730 101256 106476 126570 133095 160322 168760 177460 212952 240483 253140 266190 320644 354920 400805 480966 506280 532380 641288 801610 961932 1064760 1202415 1603220 1923864 1970273 2404830 3206440 3940546 4809660 5910819 7881092 9619320 9851365 11821638 15762184 19702730 23643276 29554095 37435187 39405460 47286552 59108190 74870374 78810920 112305561 118216380 149740748 187175935 224611122 236432760 299481496 374351870 449222244 561527805 748703740 898444488 1123055610 1497407480 2246111220 4492222440