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133422000 = 2435337601
BaseRepresentation
bin1111111001111…
…01101110110000
3100022001112120120
413330331232300
5233124001000
621123410240
73210032265
oct774755660
9308045516
10133422000
1169349a18
1238823980
132184623a
1413a1126c
15baa76a0
hex7f3dbb0

133422000 has 160 divisors (see below), whose sum is σ = 442513344. Its totient is φ = 34560000.

The previous prime is 133421999. The next prime is 133422017. The reversal of 133422000 is 224331.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 221700 + ... + 222300.

Almost surely, 2133422000 is an apocalyptic number.

133422000 is a gapful number since it is divisible by the number (10) 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 133422000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221256672).

133422000 is an abundant number, since it is smaller than the sum of its proper divisors (309091344).

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

133422000 is a wasteful number, since it uses less digits than its factorization.

133422000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 133422000 is about 11550.8441249980. The cubic root of 133422000 is about 510.9861733410.

Adding to 133422000 its reverse (224331), we get a palindrome (133646331).

The spelling of 133422000 in words is "one hundred thirty-three million, four hundred twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 37 40 48 50 60 74 75 80 100 111 120 125 148 150 185 200 222 240 250 296 300 370 375 400 444 500 555 592 600 601 740 750 888 925 1000 1110 1200 1202 1480 1500 1776 1803 1850 2000 2220 2404 2775 2960 3000 3005 3606 3700 4440 4625 4808 5550 6000 6010 7212 7400 8880 9015 9250 9616 11100 12020 13875 14424 14800 15025 18030 18500 22200 22237 24040 27750 28848 30050 36060 37000 44400 44474 45075 48080 55500 60100 66711 72120 74000 75125 88948 90150 111000 111185 120200 133422 144240 150250 177896 180300 222000 222370 225375 240400 266844 300500 333555 355792 360600 444740 450750 533688 555925 601000 667110 721200 889480 901500 1067376 1111850 1202000 1334220 1667775 1778960 1803000 2223700 2668440 2779625 3335550 3606000 4447400 5336880 5559250 6671100 8338875 8894800 11118500 13342200 16677750 22237000 26684400 33355500 44474000 66711000 133422000