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132222022400 = 2852131589207
BaseRepresentation
bin111101100100100001…
…0111111001100000000
3110122021210001200022202
41323021002333030000
54131242314204100
6140424132452332
712360404434526
oct1731102771400
9418253050282
10132222022400
1151090980486
1221760a7a0a8
13c612346ca0
14658463a316
15368ce807d5
hex1ec90bf300

132222022400 has 108 divisors (see below), whose sum is σ = 352445014992. Its totient is φ = 48820408320.

The previous prime is 132222022397. The next prime is 132222022469. The reversal of 132222022400 is 4220222231.

It is a super-2 number, since 2×1322220224002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 711404 + ... + 877803.

Almost surely, 2132222022400 is an apocalyptic number.

132222022400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132222022400 is an abundant number, since it is smaller than the sum of its proper divisors (220222992592).

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

132222022400 is a wasteful number, since it uses less digits than its factorization.

132222022400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1589246 (or 1589227 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 132222022400 its reverse (4220222231), we get a palindrome (136442244631).

The spelling of 132222022400 in words is "one hundred thirty-two billion, two hundred twenty-two million, twenty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 128 130 160 200 208 256 260 320 325 400 416 520 640 650 800 832 1040 1280 1300 1600 1664 2080 2600 3200 3328 4160 5200 6400 8320 10400 16640 20800 41600 83200 1589207 3178414 6356828 7946035 12713656 15892070 20659691 25427312 31784140 39730175 41319382 50854624 63568280 79460350 82638764 101709248 103298455 127136560 158920700 165277528 203418496 206596910 254273120 317841400 330555056 406836992 413193820 508546240 516492275 635682800 661110112 826387640 1017092480 1032984550 1271365600 1322220224 1652775280 2034184960 2065969100 2542731200 2644440448 3305550560 4131938200 5085462400 5288880896 6611101120 8263876400 10170924800 13222202240 16527752800 26444404480 33055505600 66111011200 132222022400