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1334517228 = 2233112102121
BaseRepresentation
bin100111110001011…
…0001110111101100
310110000010111111000
41033202301313230
510213114022403
6340231200300
745033131532
oct11742616754
93400114430
101334517228
11625333600
12312b16090
13183632085
14c9348152
157c25c7a3
hex4f8b1dec

1334517228 has 72 divisors (see below), whose sum is σ = 3803023280. Its totient is φ = 404395200.

The previous prime is 1334517227. The next prime is 1334517229. The reversal of 1334517228 is 8227154331.

1334517228 is a `hidden beast` number, since 133 + 4 + 517 + 2 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (1334517227) and next prime (1334517229).

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 = 1334517192 and 1334517201.

It is not an unprimeable number, because it can be changed into a prime (1334517227) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37993 + ... + 64128.

Almost surely, 21334517228 is an apocalyptic number.

1334517228 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1334517228 is an abundant number, since it is smaller than the sum of its proper divisors (2468506052).

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

1334517228 is a wasteful number, since it uses less digits than its factorization.

1334517228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102156 (or 102137 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 1334517228 is about 36531.0447154198. The cubic root of 1334517228 is about 1100.9680811007.

The spelling of 1334517228 in words is "one billion, three hundred thirty-four million, five hundred seventeen thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 121 132 198 242 297 363 396 484 594 726 1089 1188 1452 2178 3267 4356 6534 13068 102121 204242 306363 408484 612726 919089 1123331 1225452 1838178 2246662 2757267 3369993 3676356 4493324 5514534 6739986 10109979 11029068 12356641 13479972 20219958 24713282 30329937 37069923 40439916 49426564 60659874 74139846 111209769 121319748 148279692 222419538 333629307 444839076 667258614 1334517228