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40229112 = 23371121979
BaseRepresentation
bin1001100101110…
…1100011111000
32210200211222010
42121131203320
540244312422
63554125520
7665641020
oct231354370
983624863
1040229112
1120787800
12115808a0
138446c11
1454b2a80
1537e9b0c
hex265d8f8

40229112 has 96 divisors (see below), whose sum is σ = 126403200. Its totient is φ = 10443840.

The previous prime is 40229087. The next prime is 40229129. The reversal of 40229112 is 21192204.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19339 + ... + 21317.

It is an arithmetic number, because the mean of its divisors is an integer number (1316700).

Almost surely, 240229112 is an apocalyptic number.

40229112 is a gapful number since it is divisible by the number (42) 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 40229112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63201600).

40229112 is an abundant number, since it is smaller than the sum of its proper divisors (86174088).

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

40229112 is a wasteful number, since it uses less digits than its factorization.

40229112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2017 (or 2002 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 40229112 is about 6342.6423515756. The cubic root of 40229112 is about 342.6469066277.

The spelling of 40229112 in words is "forty million, two hundred twenty-nine thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 121 132 154 168 231 242 264 308 363 462 484 616 726 847 924 968 1452 1694 1848 1979 2541 2904 3388 3958 5082 5937 6776 7916 10164 11874 13853 15832 20328 21769 23748 27706 41559 43538 47496 55412 65307 83118 87076 110824 130614 152383 166236 174152 239459 261228 304766 332472 457149 478918 522456 609532 718377 914298 957836 1219064 1436754 1676213 1828596 1915672 2873508 3352426 3657192 5028639 5747016 6704852 10057278 13409704 20114556 40229112