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222656640 = 2735891303
BaseRepresentation
bin11010100010101…
…11100010000000
3120111222010111020
431101113202000
5424000003030
634032145440
75342356503
oct1521274200
9514863436
10222656640
11104758258
1262698280
133718a9bb
14217dd13a
1514832510
hexd457880

222656640 has 128 divisors (see below), whose sum is σ = 718243200. Its totient is φ = 58662912.

The previous prime is 222656627. The next prime is 222656641. The reversal of 222656640 is 46656222.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (222656641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 170229 + ... + 171531.

It is an arithmetic number, because the mean of its divisors is an integer number (5611275).

Almost surely, 2222656640 is an apocalyptic number.

222656640 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 222656640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359121600).

222656640 is an abundant number, since it is smaller than the sum of its proper divisors (495586560).

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

222656640 is a wasteful number, since it uses less digits than its factorization.

222656640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1414 (or 1402 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 222656640 is about 14921.6835511279. The cubic root of 222656640 is about 606.1013021077.

The spelling of 222656640 in words is "two hundred twenty-two million, six hundred fifty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 89 96 120 128 160 178 192 240 267 320 356 384 445 480 534 640 712 890 960 1068 1303 1335 1424 1780 1920 2136 2606 2670 2848 3560 3909 4272 5212 5340 5696 6515 7120 7818 8544 10424 10680 11392 13030 14240 15636 17088 19545 20848 21360 26060 28480 31272 34176 39090 41696 42720 52120 56960 62544 78180 83392 85440 104240 115967 125088 156360 166784 170880 208480 231934 250176 312720 347901 416960 463868 500352 579835 625440 695802 833920 927736 1159670 1250880 1391604 1739505 1855472 2319340 2501760 2783208 3479010 3710944 4638680 5566416 6958020 7421888 9277360 11132832 13916040 14843776 18554720 22265664 27832080 37109440 44531328 55664160 74218880 111328320 222656640