Search a number
-
+
42228102 = 237317271
BaseRepresentation
bin1010000100010…
…1100110000110
32221110102001210
42201011212012
541302244402
64105032250
71021635000
oct241054606
987412053
1042228102
1121922664
1212185686
138996a57
145873370
153a9206c
hex2845986

42228102 has 96 divisors (see below), whose sum is σ = 106099200. Its totient is φ = 11195520.

The previous prime is 42228083. The next prime is 42228103. The reversal of 42228102 is 20182224.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42228103) 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, 594727 + ... + 594797.

It is an arithmetic number, because the mean of its divisors is an integer number (1105200).

Almost surely, 242228102 is an apocalyptic number.

42228102 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 42228102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53049600).

42228102 is an abundant number, since it is smaller than the sum of its proper divisors (63871098).

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

42228102 is a wasteful number, since it uses less digits than its factorization.

42228102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 42228102 is about 6498.3153201426. The cubic root of 42228102 is about 348.2308054032.

The spelling of 42228102 in words is "forty-two million, two hundred twenty-eight thousand, one hundred two".

Divisors: 1 2 3 6 7 14 17 21 34 42 49 51 71 98 102 119 142 147 213 238 289 294 343 357 426 497 578 686 714 833 867 994 1029 1207 1491 1666 1734 2023 2058 2414 2499 2982 3479 3621 4046 4998 5831 6069 6958 7242 8449 10437 11662 12138 14161 16898 17493 20519 20874 24353 25347 28322 34986 41038 42483 48706 50694 59143 61557 73059 84966 99127 118286 123114 143633 146118 177429 198254 287266 297381 354858 414001 430899 594762 828002 861798 1005431 1242003 2010862 2484006 3016293 6032586 7038017 14076034 21114051 42228102