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132230800 = 24521359431
BaseRepresentation
bin1111110000110…
…10111010010000
3100012211000120001
413320122322100
5232322341200
621042055344
73163641352
oct770327220
9305730501
10132230800
1168705a59
123834a554
1321519ca0
14137c10d2
15b91e76a
hex7e1ae90

132230800 has 120 divisors (see below), whose sum is σ = 348727680. Its totient is φ = 47884800.

The previous prime is 132230797. The next prime is 132230803. The reversal of 132230800 is 8032231.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (132230797) and next prime (132230803).

It is not an unprimeable number, because it can be changed into a prime (132230803) 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, 306585 + ... + 307015.

It is an arithmetic number, because the mean of its divisors is an integer number (2906064).

Almost surely, 2132230800 is an apocalyptic number.

132230800 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 132230800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174363840).

132230800 is an abundant number, since it is smaller than the sum of its proper divisors (216496880).

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

132230800 is a wasteful number, since it uses less digits than its factorization.

132230800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 132230800 is about 11499.1651870908. The cubic root of 132230800 is about 509.4609195525.

The spelling of 132230800 in words is "one hundred thirty-two million, two hundred thirty thousand, eight hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 59 65 80 100 104 118 130 200 208 236 260 295 325 400 431 472 520 590 650 767 862 944 1040 1180 1300 1475 1534 1724 2155 2360 2600 2950 3068 3448 3835 4310 4720 5200 5603 5900 6136 6896 7670 8620 10775 11206 11800 12272 15340 17240 19175 21550 22412 23600 25429 28015 30680 34480 38350 43100 44824 50858 56030 61360 76700 86200 89648 101716 112060 127145 140075 153400 172400 203432 224120 254290 280150 306800 330577 406864 448240 508580 560300 635725 661154 1017160 1120600 1271450 1322308 1652885 2034320 2241200 2542900 2644616 3305770 5085800 5289232 6611540 8264425 10171600 13223080 16528850 26446160 33057700 66115400 132230800