Search a number
-
+
62245020 = 22352983431
BaseRepresentation
bin1110110101110…
…0100010011100
311100010101010010
43231130202130
5111413320040
610102043220
71354034235
oct355344234
9140111103
1062245020
1132154672
1218a19510
13cb84a96
1483a408c
1556e7e80
hex3b5c89c

62245020 has 96 divisors (see below), whose sum is σ = 182891520. Its totient is φ = 15796480.

The previous prime is 62244979. The next prime is 62245021. The reversal of 62245020 is 2054226.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (62245021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 144205 + ... + 144635.

It is an arithmetic number, because the mean of its divisors is an integer number (1905120).

Almost surely, 262245020 is an apocalyptic number.

62245020 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 62245020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91445760).

62245020 is an abundant number, since it is smaller than the sum of its proper divisors (120646500).

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

62245020 is a wasteful number, since it uses less digits than its factorization.

62245020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 62245020 is about 7889.5513180408. The cubic root of 62245020 is about 396.3098533981.

Adding to 62245020 its reverse (2054226), we get a palindrome (64299246).

The spelling of 62245020 in words is "sixty-two million, two hundred forty-five thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 83 87 116 145 166 174 249 290 332 348 415 431 435 498 580 830 862 870 996 1245 1293 1660 1724 1740 2155 2407 2490 2586 4310 4814 4980 5172 6465 7221 8620 9628 12035 12499 12930 14442 24070 24998 25860 28884 35773 36105 37497 48140 49996 62495 71546 72210 74994 107319 124990 143092 144420 149988 178865 187485 214638 249980 357730 374970 429276 536595 715460 749940 1037417 1073190 2074834 2146380 3112251 4149668 5187085 6224502 10374170 12449004 15561255 20748340 31122510 62245020