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4220001828 = 223475335107
BaseRepresentation
bin1111101110001000…
…0001111000100100
3101220002200022020000
43323202001320210
532120310024303
61534425141300
7206401265220
oct37342017044
911802608200
104220001828
111876098919
1299932a830
1352338cc03
142c0661780
1519a730da3
hexfb881e24

4220001828 has 120 divisors (see below), whose sum is σ = 12846157632. Its totient is φ = 1182931776.

The previous prime is 4220001827. The next prime is 4220001853. The reversal of 4220001828 is 8281000224.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (4220001827) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 102651 + ... + 137757.

Almost surely, 24220001828 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 4220001828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6423078816).

4220001828 is an abundant number, since it is smaller than the sum of its proper divisors (8626155804).

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

4220001828 is a wasteful number, since it uses less digits than its factorization.

4220001828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35183 (or 35172 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 4220001828 is about 64961.5411455116. The cubic root of 4220001828 is about 1615.9858228546.

The spelling of 4220001828 in words is "four billion, two hundred twenty million, one thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 53 54 63 81 84 106 108 126 159 162 189 212 252 318 324 371 378 477 567 636 742 756 954 1113 1134 1431 1484 1908 2226 2268 2862 3339 4293 4452 5724 6678 8586 10017 13356 17172 20034 30051 35107 40068 60102 70214 105321 120204 140428 210642 245749 315963 421284 491498 631926 737247 947889 982996 1263852 1474494 1860671 1895778 2211741 2843667 2948988 3721342 3791556 4423482 5582013 5687334 6635223 7442684 8846964 11164026 11374668 13024697 13270446 16746039 19905669 22328052 26049394 26540892 33492078 39074091 39811338 50238117 52098788 66984156 78148182 79622676 100476234 117222273 150714351 156296364 200952468 234444546 301428702 351666819 468889092 602857404 703333638 1055000457 1406667276 2110000914 4220001828