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228121524 = 223219359929
BaseRepresentation
bin11011001100011…
…01101110110100
3120220020202220100
431212031232310
5431344342044
634345234100
75440000221
oct1546155664
9526222810
10228121524
11107850094
1264492930
1338352267
1422422948
1515061869
hexd98dbb4

228121524 has 72 divisors (see below), whose sum is σ = 609336000. Its totient is φ = 71760384.

The previous prime is 228121519. The next prime is 228121541. The reversal of 228121524 is 425121822.

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, 245092 + ... + 246020.

It is an arithmetic number, because the mean of its divisors is an integer number (8463000).

Almost surely, 2228121524 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 228121524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304668000).

228121524 is an abundant number, since it is smaller than the sum of its proper divisors (381214476).

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

228121524 is a wasteful number, since it uses less digits than its factorization.

228121524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1317 (or 1312 counting only the distinct ones).

The product of its digits is 2560, while the sum is 27.

The square root of 228121524 is about 15103.6923962321. The cubic root of 228121524 is about 611.0199937563.

It can be divided in two parts, 22812 and 1524, that added together give a square (24336 = 1562).

The spelling of 228121524 in words is "two hundred twenty-eight million, one hundred twenty-one thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 359 684 718 929 1077 1436 1858 2154 2787 3231 3716 4308 5574 6462 6821 8361 11148 12924 13642 16722 17651 20463 27284 33444 35302 40926 52953 61389 70604 81852 105906 122778 158859 211812 245556 317718 333511 635436 667022 1000533 1334044 2001066 3001599 4002132 6003198 6336709 12006396 12673418 19010127 25346836 38020254 57030381 76040508 114060762 228121524