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424392228 = 2232132389443
BaseRepresentation
bin11001010010111…
…011011000100100
31002120120100200200
4121102323120210
51332121022403
6110040110500
713342163061
oct3122733044
91076510620
10424392228
111a8616187
12ba165430
1369c01c80
1440513c68
15273d0ca3
hex194bb624

424392228 has 144 divisors (see below), whose sum is σ = 1221816960. Its totient is φ = 123222528.

The previous prime is 424392223. The next prime is 424392247. The reversal of 424392228 is 822293424.

424392228 is a `hidden beast` number, since 42 + 4 + 392 + 228 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 424392192 and 424392201.

It is not an unprimeable number, because it can be changed into a prime (424392223) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 957775 + ... + 958217.

It is an arithmetic number, because the mean of its divisors is an integer number (8484840).

Almost surely, 2424392228 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 424392228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610908480).

424392228 is an abundant number, since it is smaller than the sum of its proper divisors (797424732).

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

424392228 is a wasteful number, since it uses less digits than its factorization.

424392228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578 (or 573 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 424392228 is about 20600.7822181586. The cubic root of 424392228 is about 751.4887336077.

The spelling of 424392228 in words is "four hundred twenty-four million, three hundred ninety-two thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 23 26 36 39 46 52 69 78 89 92 117 138 156 178 207 234 267 276 299 356 414 443 468 534 598 801 828 886 897 1068 1157 1196 1329 1602 1772 1794 2047 2314 2658 2691 3204 3471 3588 3987 4094 4628 5316 5382 5759 6141 6942 7974 8188 10189 10413 10764 11518 12282 13884 15948 17277 18423 20378 20826 23036 24564 26611 30567 34554 36846 39427 40756 41652 51831 53222 61134 69108 73692 78854 79833 91701 103662 106444 118281 122268 132457 157708 159666 183402 207324 236562 239499 264914 319332 354843 366804 397371 473124 478998 512551 529828 709686 794742 906821 957996 1025102 1192113 1419372 1537653 1589484 1813642 2050204 2384226 2720463 3075306 3627284 4612959 4768452 5440926 6150612 8161389 9225918 10881852 11788673 16322778 18451836 23577346 32645556 35366019 47154692 70732038 106098057 141464076 212196114 424392228