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42229020 = 223517192179
BaseRepresentation
bin1010000100010…
…1110100011100
32221110110022210
42201011310130
541302312040
64105040420
71021640451
oct241056434
987413283
1042229020
1121923319
1212186110
1389972b2
145873828
153a92480
hex2845d1c

42229020 has 96 divisors (see below), whose sum is σ = 131846400. Its totient is φ = 10036224.

The previous prime is 42228997. The next prime is 42229051. The reversal of 42229020 is 2092224.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 18291 + ... + 20469.

It is an arithmetic number, because the mean of its divisors is an integer number (1373400).

Almost surely, 242229020 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 42229020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65923200).

42229020 is an abundant number, since it is smaller than the sum of its proper divisors (89617380).

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

42229020 is a wasteful number, since it uses less digits than its factorization.

42229020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2227 (or 2225 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 42229020 is about 6498.3859534503. The cubic root of 42229020 is about 348.2333287904.

The spelling of 42229020 in words is "forty-two million, two hundred twenty-nine thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 19 20 30 34 38 51 57 60 68 76 85 95 102 114 170 190 204 228 255 285 323 340 380 510 570 646 969 1020 1140 1292 1615 1938 2179 3230 3876 4358 4845 6460 6537 8716 9690 10895 13074 19380 21790 26148 32685 37043 41401 43580 65370 74086 82802 111129 124203 130740 148172 165604 185215 207005 222258 248406 370430 414010 444516 496812 555645 621015 703817 740860 828020 1111290 1242030 1407634 2111451 2222580 2484060 2815268 3519085 4222902 7038170 8445804 10557255 14076340 21114510 42229020