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244211616 = 253211157491
BaseRepresentation
bin11101000111001…
…01111110100000
3122000112020100200
432203211332200
51000004232431
640122145200
76023523135
oct1643457640
9560466320
10244211616
1111593a890
1269952200
133b796b1c
142461058c
151668dee6
hexe8e5fa0

244211616 has 144 divisors (see below), whose sum is σ = 763989408. Its totient is φ = 73382400.

The previous prime is 244211603. The next prime is 244211623. The reversal of 244211616 is 616112442.

244211616 is a `hidden beast` number, since 2 + 4 + 42 + 1 + 1 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 244211616.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 497131 + ... + 497621.

It is an arithmetic number, because the mean of its divisors is an integer number (5305482).

Almost surely, 2244211616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 244211616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381994704).

244211616 is an abundant number, since it is smaller than the sum of its proper divisors (519777792).

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

244211616 is a wasteful number, since it uses less digits than its factorization.

244211616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675 (or 664 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 244211616 is about 15627.2715468824. The cubic root of 244211616 is about 625.0605731159.

The spelling of 244211616 in words is "two hundred forty-four million, two hundred eleven thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 157 176 198 264 288 314 352 396 471 491 528 628 792 942 982 1056 1256 1413 1473 1584 1727 1884 1964 2512 2826 2946 3168 3454 3768 3928 4419 5024 5181 5401 5652 5892 6908 7536 7856 8838 10362 10802 11304 11784 13816 15072 15543 15712 16203 17676 20724 21604 22608 23568 27632 31086 32406 35352 41448 43208 45216 47136 48609 55264 62172 64812 70704 77087 82896 86416 97218 124344 129624 141408 154174 165792 172832 194436 231261 248688 259248 308348 388872 462522 497376 518496 616696 693783 777744 847957 925044 1233392 1387566 1555488 1695914 1850088 2466784 2543871 2775132 3391828 3700176 5087742 5550264 6783656 7400352 7631613 10175484 11100528 13567312 15263226 20350968 22201056 27134624 30526452 40701936 61052904 81403872 122105808 244211616