[go: up one dir, main page]

Search a number
-
+
42202230 = 23572191511
BaseRepresentation
bin1010000011111…
…1010001110110
32221102002120120
42200333101312
541300432410
64104312410
71021466400
oct240772166
987362516
1042202230
1121905184
1212172706
138988045
145867b70
153a89570
hex283f476

42202230 has 96 divisors (see below), whose sum is σ = 124104960. Its totient is φ = 9132480.

The previous prime is 42202229. The next prime is 42202231. The reversal of 42202230 is 3220224.

It is an interprime number because it is at equal distance from previous prime (42202229) and next prime (42202231).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42202231) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27175 + ... + 28685.

It is an arithmetic number, because the mean of its divisors is an integer number (1292760).

Almost surely, 242202230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42202230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62052480).

42202230 is an abundant number, since it is smaller than the sum of its proper divisors (81902730).

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

42202230 is a wasteful number, since it uses less digits than its factorization.

42202230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1554 (or 1547 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 42202230 is about 6496.3243453510. The cubic root of 42202230 is about 348.1596737196.

Adding to 42202230 its reverse (3220224), we get a palindrome (45422454).

The spelling of 42202230 in words is "forty-two million, two hundred two thousand, two hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 19 21 30 35 38 42 49 57 70 95 98 105 114 133 147 190 210 245 266 285 294 399 490 570 665 735 798 931 1330 1470 1511 1862 1995 2793 3022 3990 4533 4655 5586 7555 9066 9310 10577 13965 15110 21154 22665 27930 28709 31731 45330 52885 57418 63462 74039 86127 105770 143545 148078 158655 172254 200963 222117 287090 317310 370195 401926 430635 444234 602889 740390 861270 1004815 1110585 1205778 1406741 2009630 2221170 2813482 3014445 4220223 6028890 7033705 8440446 14067410 21101115 42202230