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424015228 = 22731323773
BaseRepresentation
bin11001010001011…
…111010101111100
31002112212012112201
4121101133111330
51332021441403
6110024041244
713336033000
oct3121372574
91075765481
10424015228
111a8388a0a
12ba003224
1369acc4b0
1440456700
152735921d
hex1945f57c

424015228 has 48 divisors (see below), whose sum is σ = 931940800. Its totient is φ = 167735232.

The previous prime is 424015219. The next prime is 424015237. The reversal of 424015228 is 822510424.

It is an interprime number because it is at equal distance from previous prime (424015219) and next prime (424015237).

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

It is a junction number, because it is equal to n+sod(n) for n = 424015196 and 424015205.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 5950 + ... + 29722.

Almost surely, 2424015228 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 424015228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465970400).

424015228 is an abundant number, since it is smaller than the sum of its proper divisors (507925572).

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

424015228 is a wasteful number, since it uses less digits than its factorization.

424015228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23811 (or 23795 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 28.

The square root of 424015228 is about 20591.6300471818. The cubic root of 424015228 is about 751.2661445604.

The spelling of 424015228 in words is "four hundred twenty-four million, fifteen thousand, two hundred twenty-eight".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 182 196 343 364 637 686 1274 1372 2548 4459 8918 17836 23773 47546 95092 166411 309049 332822 618098 665644 1164877 1236196 2163343 2329754 4326686 4659508 8154139 8653372 15143401 16308278 30286802 32616556 60573604 106003807 212007614 424015228