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228961404 = 223773739
BaseRepresentation
bin11011010010110…
…10110001111100
3120221211110000000
431221122301330
5432103231104
634415234300
75450065650
oct1551326174
9527743000
10228961404
11108274101
1264818990
1338587629
14225a0a60
151517a639
hexda5ac7c

228961404 has 96 divisors (see below), whose sum is σ = 686963200. Its totient is φ = 65400048.

The previous prime is 228961399. The next prime is 228961417. The reversal of 228961404 is 404169822.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59367 + ... + 63105.

Almost surely, 2228961404 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 228961404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343481600).

228961404 is an abundant number, since it is smaller than the sum of its proper divisors (458001796).

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

228961404 is an equidigital number, since it uses as much as digits as its factorization.

228961404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3771 (or 3751 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 228961404 is about 15131.4706489488. The cubic root of 228961404 is about 611.7689439193.

The spelling of 228961404 in words is "two hundred twenty-eight million, nine hundred sixty-one thousand, four hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 243 252 324 378 486 567 729 756 972 1134 1458 1701 2187 2268 2916 3402 3739 4374 5103 6804 7478 8748 10206 11217 14956 15309 20412 22434 26173 30618 33651 44868 52346 61236 67302 78519 100953 104692 134604 157038 201906 235557 302859 314076 403812 471114 605718 706671 908577 942228 1211436 1413342 1817154 2120013 2725731 2826684 3634308 4240026 5451462 6360039 8177193 8480052 10902924 12720078 16354386 19080117 25440156 32708772 38160234 57240351 76320468 114480702 228961404