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42225510 = 23537109349
BaseRepresentation
bin1010000100010…
…0111101100110
32221110021111210
42201010331212
541302204020
64105012250
71021624305
oct241047546
987407453
1042225510
1121920718
1212184086
138995812
14587243c
153a913e0
hex2844f66

42225510 has 64 divisors (see below), whose sum is σ = 105336000. Its totient is φ = 10824192.

The previous prime is 42225461. The next prime is 42225511. The reversal of 42225510 is 1552224.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42225511) 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, 120816 + ... + 121164.

It is an arithmetic number, because the mean of its divisors is an integer number (1645875).

Almost surely, 242225510 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42225510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52668000).

42225510 is an abundant number, since it is smaller than the sum of its proper divisors (63110490).

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

42225510 is a wasteful number, since it uses less digits than its factorization.

42225510 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505.

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 42225510 is about 6498.1158807765. The cubic root of 42225510 is about 348.2236803476.

Adding to 42225510 its reverse (1552224), we get a palindrome (43777734).

The spelling of 42225510 in words is "forty-two million, two hundred twenty-five thousand, five hundred ten".

Divisors: 1 2 3 5 6 10 15 30 37 74 109 111 185 218 222 327 349 370 545 555 654 698 1047 1090 1110 1635 1745 2094 3270 3490 4033 5235 8066 10470 12099 12913 20165 24198 25826 38041 38739 40330 60495 64565 76082 77478 114123 120990 129130 190205 193695 228246 380410 387390 570615 1141230 1407517 2815034 4222551 7037585 8445102 14075170 21112755 42225510