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424223040 = 26352319213
BaseRepresentation
bin11001010010010…
…010000101000000
31002120020202121110
4121102102011000
51332100114130
6110032323320
713340556603
oct3122220500
91076222543
10424223040
111a851005a
12ba0a3540
1369b72c67
14404ac33a
152739aab0
hex19492140

424223040 has 112 divisors (see below), whose sum is σ = 1405542528. Its totient is φ = 108201984.

The previous prime is 424223027. The next prime is 424223057. The reversal of 424223040 is 40322424.

It is a junction number, because it is equal to n+sod(n) for n = 424222998 and 424223016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12474 + ... + 31686.

Almost surely, 2424223040 is an apocalyptic number.

424223040 is a gapful number since it is divisible by the number (40) 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 424223040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702771264).

424223040 is an abundant number, since it is smaller than the sum of its proper divisors (981319488).

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

424223040 is a wasteful number, since it uses less digits than its factorization.

424223040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19256 (or 19246 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 424223040 is about 20596.6754598892. The cubic root of 424223040 is about 751.3888576229.

Adding to 424223040 its reverse (40322424), we get a palindrome (464545464).

The spelling of 424223040 in words is "four hundred twenty-four million, two hundred twenty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 64 69 80 92 96 115 120 138 160 184 192 230 240 276 320 345 368 460 480 552 690 736 920 960 1104 1380 1472 1840 2208 2760 3680 4416 5520 7360 11040 19213 22080 38426 57639 76852 96065 115278 153704 192130 230556 288195 307408 384260 441899 461112 576390 614816 768520 883798 922224 1152780 1229632 1325697 1537040 1767596 1844448 2209495 2305560 2651394 3074080 3535192 3688896 4418990 4611120 5302788 6148160 6628485 7070384 8837980 9222240 10605576 13256970 14140768 17675960 18444480 21211152 26513940 28281536 35351920 42422304 53027880 70703840 84844608 106055760 141407680 212111520 424223040