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429225940 = 2251113223673
BaseRepresentation
bin11001100101010…
…111011111010100
31002220122221022001
4121211113133110
51334340212230
6110331445044
713431234403
oct3145273724
91086587261
10429225940
11200317890
12bb8b6784
136ac05160
144101163a
1527a380ca
hex199577d4

429225940 has 96 divisors (see below), whose sum is σ = 1065286656. Its totient is φ = 143216640.

The previous prime is 429225917. The next prime is 429225947. The reversal of 429225940 is 49522924.

It is a self number, because there is not a number n which added to its sum of digits gives 429225940.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (429225947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 637444 + ... + 638116.

It is an arithmetic number, because the mean of its divisors is an integer number (11096736).

Almost surely, 2429225940 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 429225940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532643328).

429225940 is an abundant number, since it is smaller than the sum of its proper divisors (636060716).

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

429225940 is a wasteful number, since it uses less digits than its factorization.

429225940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 929 (or 927 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The square root of 429225940 is about 20717.7687022517. The cubic root of 429225940 is about 754.3310537471.

The spelling of 429225940 in words is "four hundred twenty-nine million, two hundred twenty-five thousand, nine hundred forty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 220 223 260 286 446 572 673 715 892 1115 1346 1430 2230 2453 2692 2860 2899 3365 4460 4906 5798 6730 7403 8749 9812 11596 12265 13460 14495 14806 17498 24530 28990 29612 31889 34996 37015 43745 49060 57980 63778 74030 87490 96239 127556 148060 150079 159445 174980 192478 300158 318890 384956 481195 600316 637780 750395 962390 1500790 1650869 1924780 1951027 3001580 3301738 3902054 6603476 7804108 8254345 9755135 16508690 19510270 21461297 33017380 39020540 42922594 85845188 107306485 214612970 429225940