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424226000 = 24531121753
BaseRepresentation
bin11001010010010…
…010110011010000
31002120020220200002
4121102102303100
51332100213000
6110032345132
713340601332
oct3122226320
91076226602
10424226000
111a8512300
12ba0a51a8
1369b74403
14404ad452
152739b8d5
hex19492cd0

424226000 has 120 divisors (see below), whose sum is σ = 1128151752. Its totient is φ = 154176000.

The previous prime is 424225993. The next prime is 424226017. The reversal of 424226000 is 622424.

It can be written as a sum of positive squares in 4 ways, for example, as 105103504 + 319122496 = 10252^2 + 17864^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 241124 + ... + 242876.

Almost surely, 2424226000 is an apocalyptic number.

424226000 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 424226000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564075876).

424226000 is an abundant number, since it is smaller than the sum of its proper divisors (703925752).

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

424226000 is a wasteful number, since it uses less digits than its factorization.

424226000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1798 (or 1771 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 424226000 is about 20596.7473160206. The cubic root of 424226000 is about 751.3906052145.

Adding to 424226000 its reverse (622424), we get a palindrome (424848424).

The spelling of 424226000 in words is "four hundred twenty-four million, two hundred twenty-six thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 121 125 176 200 220 242 250 275 400 440 484 500 550 605 880 968 1000 1100 1210 1375 1753 1936 2000 2200 2420 2750 3025 3506 4400 4840 5500 6050 7012 8765 9680 11000 12100 14024 15125 17530 19283 22000 24200 28048 30250 35060 38566 43825 48400 60500 70120 77132 87650 96415 121000 140240 154264 175300 192830 212113 219125 242000 308528 350600 385660 424226 438250 482075 701200 771320 848452 876500 964150 1060565 1542640 1696904 1753000 1928300 2121130 2410375 3393808 3506000 3856600 4242260 4820750 5302825 7713200 8484520 9641500 10605650 16969040 19283000 21211300 26514125 38566000 42422600 53028250 84845200 106056500 212113000 424226000