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42212130 = 23523131467
BaseRepresentation
bin1010000100000…
…1101100100010
32221102121011020
42201001230202
541301242010
64104430310
71021540302
oct241015442
987377136
1042212130
1121911664
1212178396
13898c6bc
14586b602
153a8c470
hex2841b22

42212130 has 64 divisors (see below), whose sum is σ = 106748928. Its totient is φ = 10662080.

The previous prime is 42212113. The next prime is 42212143. The reversal of 42212130 is 3121224.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90157 + ... + 90623.

It is an arithmetic number, because the mean of its divisors is an integer number (1667952).

Almost surely, 242212130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42212130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53374464).

42212130 is an abundant number, since it is smaller than the sum of its proper divisors (64536798).

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

42212130 is a wasteful number, since it uses less digits than its factorization.

42212130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631.

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 42212130 is about 6497.0862700137. The cubic root of 42212130 is about 348.1868959089.

Adding to 42212130 its reverse (3121224), we get a palindrome (45333354).

The spelling of 42212130 in words is "forty-two million, two hundred twelve thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 131 138 230 262 345 393 467 655 690 786 934 1310 1401 1965 2335 2802 3013 3930 4670 6026 7005 9039 10741 14010 15065 18078 21482 30130 32223 45195 53705 61177 64446 90390 107410 122354 161115 183531 305885 322230 367062 611770 917655 1407071 1835310 2814142 4221213 7035355 8442426 14070710 21106065 42212130