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1466225136 = 2432194191279
BaseRepresentation
bin101011101100100…
…1101000111110000
310210011221221202200
41113121031013300
511000323201021
6401254143200
751222464565
oct12731150760
93704857680
101466225136
11692711712
1234b051b00
131a49c804c
14dca3086c
1588ac7126
hex5764d1f0

1466225136 has 120 divisors (see below), whose sum is σ = 4333056000. Its totient is φ = 461552256.

The previous prime is 1466225093. The next prime is 1466225141. The reversal of 1466225136 is 6315226641.

1466225136 is a `hidden beast` number, since 14 + 6 + 622 + 5 + 13 + 6 = 666.

It is a super-2 number, since 2×14662251362 = 4299632298876436992, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1466225136.

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, 1145745 + ... + 1147023.

It is an arithmetic number, because the mean of its divisors is an integer number (36108800).

Almost surely, 21466225136 is an apocalyptic number.

1466225136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1466225136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2166528000).

1466225136 is an abundant number, since it is smaller than the sum of its proper divisors (2866830864).

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

1466225136 is a wasteful number, since it uses less digits than its factorization.

1466225136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1731 (or 1722 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 1466225136 is about 38291.3193295817. The cubic root of 1466225136 is about 1136.0572567517.

The spelling of 1466225136 in words is "one billion, four hundred sixty-six million, two hundred twenty-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 419 456 684 838 912 1257 1279 1368 1676 2514 2558 2736 3352 3771 3837 5028 5116 6704 7542 7674 7961 10056 10232 11511 15084 15348 15922 20112 20464 23022 23883 24301 30168 30696 31844 46044 47766 48602 60336 61392 63688 71649 72903 92088 95532 97204 127376 143298 145806 184176 191064 194408 218709 286596 291612 382128 388816 437418 535901 573192 583224 874836 1071802 1146384 1166448 1607703 1749672 2143604 3215406 3499344 4287208 4823109 6430812 8574416 9646218 10182119 12861624 19292436 20364238 25723248 30546357 38584872 40728476 61092714 77169744 81456952 91639071 122185428 162913904 183278142 244370856 366556284 488741712 733112568 1466225136