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4220646420 = 2235599471259
BaseRepresentation
bin1111101110010001…
…1111010000010100
3101220010220001102210
43323210133100110
532120441141140
61534451033420
7206406621414
oct37344372024
911803801383
104220646420
111876499141
1299959b870
13523557423
142c078c644
1519a80bd80
hexfb91f414

4220646420 has 96 divisors (see below), whose sum is σ = 12040358400. Its totient is φ = 1104383104.

The previous prime is 4220646413. The next prime is 4220646427. The reversal of 4220646420 is 246460224.

It is an interprime number because it is at equal distance from previous prime (4220646413) and next prime (4220646427).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4220646427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3351751 + ... + 3353009.

It is an arithmetic number, because the mean of its divisors is an integer number (125420400).

Almost surely, 24220646420 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 4220646420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6020179200).

4220646420 is an abundant number, since it is smaller than the sum of its proper divisors (7819711980).

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

4220646420 is a wasteful number, since it uses less digits than its factorization.

4220646420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2277 (or 2275 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The square root of 4220646420 is about 64966.5022915656. The cubic root of 4220646420 is about 1616.0680975821.

The spelling of 4220646420 in words is "four billion, two hundred twenty million, six hundred forty-six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 59 60 118 177 236 295 354 590 708 885 947 1180 1259 1770 1894 2518 2841 3540 3777 3788 4735 5036 5682 6295 7554 9470 11364 12590 14205 15108 18885 18940 25180 28410 37770 55873 56820 74281 75540 111746 148562 167619 222843 223492 279365 297124 335238 371405 445686 558730 670476 742810 838095 891372 1114215 1117460 1192273 1485620 1676190 2228430 2384546 3352380 3576819 4456860 4769092 5961365 7153638 11922730 14307276 17884095 23845460 35768190 70344107 71536380 140688214 211032321 281376428 351720535 422064642 703441070 844129284 1055161605 1406882140 2110323210 4220646420