Search a number
-
+
323220000 = 253545387
BaseRepresentation
bin10011010000111…
…111001000100000
3211112012021111010
4103100333020200
51130221020000
652023420520
711003216235
oct2320771040
9745167433
10323220000
111564a3a74
12902b4740
1351c6aa4c
1430cd978c
151d598d50
hex1343f220

323220000 has 120 divisors (see below), whose sum is σ = 1060423056. Its totient is φ = 86176000.

The previous prime is 323219971. The next prime is 323220013. The reversal of 323220000 is 22323.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 57307 + ... + 62693.

Almost surely, 2323220000 is an apocalyptic number.

323220000 is a gapful number since it is divisible by the number (30) 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 323220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530211528).

323220000 is an abundant number, since it is smaller than the sum of its proper divisors (737203056).

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

323220000 is an equidigital number, since it uses as much as digits as its factorization.

323220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5420 (or 5397 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 323220000 is about 17978.3202774898. The cubic root of 323220000 is about 686.2769439423.

Adding to 323220000 its reverse (22323), we get a palindrome (323242323).

It can be divided in two parts, 3232 and 20000, that added together give a palindrome (23232).

The spelling of 323220000 in words is "three hundred twenty-three million, two hundred twenty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 625 750 800 1000 1200 1250 1500 1875 2000 2400 2500 3000 3750 4000 5000 5387 6000 7500 10000 10774 12000 15000 16161 20000 21548 26935 30000 32322 43096 53870 60000 64644 80805 86192 107740 129288 134675 161610 172384 215480 258576 269350 323220 404025 430960 517152 538700 646440 673375 808050 861920 1077400 1292880 1346750 1616100 2020125 2154800 2585760 2693500 3232200 3366875 4040250 4309600 5387000 6464400 6733750 8080500 10100625 10774000 12928800 13467500 16161000 20201250 21548000 26935000 32322000 40402500 53870000 64644000 80805000 107740000 161610000 323220000