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424228420 = 225711279317
BaseRepresentation
bin11001010010010…
…011011001000100
31002120021000222201
4121102103121010
51332100302140
6110032404244
713340611360
oct3122233104
91076230881
10424228420
111a8514100
12ba0a6684
1369b75545
14404b02a0
152739c49a
hex19493644

424228420 has 144 divisors (see below), whose sum is σ = 1136862720. Its totient is φ = 130141440.

The previous prime is 424228391. The next prime is 424228457. The reversal of 424228420 is 24822424.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1338102 + ... + 1338418.

It is an arithmetic number, because the mean of its divisors is an integer number (7894880).

Almost surely, 2424228420 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 424228420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568431360).

424228420 is an abundant number, since it is smaller than the sum of its proper divisors (712634300).

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

424228420 is a wasteful number, since it uses less digits than its factorization.

424228420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

The square root of 424228420 is about 20596.8060630769. The cubic root of 424228420 is about 751.3920339826.

The spelling of 424228420 in words is "four hundred twenty-four million, two hundred twenty-eight thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 79 110 121 140 154 158 220 242 308 316 317 385 395 484 553 605 634 770 790 847 869 1106 1210 1268 1540 1580 1585 1694 1738 2212 2219 2420 2765 3170 3388 3476 3487 4235 4345 4438 5530 6083 6340 6974 8470 8690 8876 9559 11060 11095 12166 13948 16940 17380 17435 19118 22190 24332 24409 25043 30415 34870 38236 38357 44380 47795 48818 50086 60830 66913 69740 76714 95590 97636 100172 121660 122045 125215 133826 153428 175301 191180 191785 244090 250430 267652 268499 275473 334565 350602 383570 488180 500860 536998 550946 669130 701204 767140 876505 1073996 1101892 1338260 1342495 1377365 1753010 1928311 2684990 2754730 3030203 3506020 3856622 5369980 5509460 6060406 7713244 9641555 12120812 15151015 19283110 21211421 30302030 38566220 42422842 60604060 84845684 106057105 212114210 424228420