Search a number
-
+
2132322000 = 24353467761
BaseRepresentation
bin111111100011000…
…1010011011010000
312111121100011212220
41333012022123100
513331333301000
6551331021040
7103561303134
oct17706123320
95447304786
102132322000
119a4705096
124b613a780
1327c9c69c3
141632a13c4
15c72ee1a0
hex7f18a6d0

2132322000 has 160 divisors (see below), whose sum is σ = 6898379904. Its totient is φ = 566656000.

The previous prime is 2132321981. The next prime is 2132322007. The reversal of 2132322000 is 2232312.

2132322000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×21323220002 = 9093594223368000000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2132322007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2801620 + ... + 2802380.

Almost surely, 22132322000 is an apocalyptic number.

2132322000 is a gapful number since it is divisible by the number (20) 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 2132322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3449189952).

2132322000 is an abundant number, since it is smaller than the sum of its proper divisors (4766057904).

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

2132322000 is a wasteful number, since it uses less digits than its factorization.

2132322000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1254 (or 1238 counting only the distinct ones).

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

The square root of 2132322000 is about 46177.0722328733. The cubic root of 2132322000 is about 1287.1157240711.

Adding to 2132322000 its reverse (2232312), we get a palindrome (2134554312).

The spelling of 2132322000 in words is "two billion, one hundred thirty-two million, three hundred twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 467 500 600 750 761 934 1000 1200 1401 1500 1522 1868 2000 2283 2335 2802 3000 3044 3736 3805 4566 4670 5604 6000 6088 7005 7472 7610 9132 9340 11208 11415 11675 12176 14010 15220 18264 18680 19025 22416 22830 23350 28020 30440 35025 36528 37360 38050 45660 46700 56040 57075 58375 60880 70050 76100 91320 93400 95125 112080 114150 116750 140100 152200 175125 182640 186800 190250 228300 233500 280200 285375 304400 350250 355387 380500 456600 467000 560400 570750 700500 710774 761000 913200 934000 1066161 1141500 1401000 1421548 1522000 1776935 2132322 2283000 2802000 2843096 3553870 4264644 4566000 5330805 5686192 7107740 8529288 8884675 10661610 14215480 17058576 17769350 21323220 26654025 28430960 35538700 42646440 44423375 53308050 71077400 85292880 88846750 106616100 133270125 142154800 177693500 213232200 266540250 355387000 426464400 533080500 710774000 1066161000 2132322000