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83322240 = 273543397
BaseRepresentation
bin1001111011101…
…10010110000000
312210210012121220
410331312112000
5132312302430
612133515040
72031140661
oct475662600
9183705556
1083322240
1143040261
1223aa2a80
1314354601
14b0cd368
1574ad110
hex4f76580

83322240 has 64 divisors (see below), whose sum is σ = 265595760. Its totient is φ = 22218752.

The previous prime is 83322223. The next prime is 83322241. The reversal of 83322240 is 4222338.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 83322240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83322241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19779 + ... + 23618.

Almost surely, 283322240 is an apocalyptic number.

83322240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83322240 is an abundant number, since it is smaller than the sum of its proper divisors (182273520).

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

83322240 is a wasteful number, since it uses less digits than its factorization.

83322240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43419 (or 43407 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 83322240 is about 9128.1016646398. The cubic root of 83322240 is about 436.7708496695.

Adding to 83322240 its reverse (4222338), we get a palindrome (87544578).

The spelling of 83322240 in words is "eighty-three million, three hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 43397 86794 130191 173588 216985 260382 347176 433970 520764 650955 694352 867940 1041528 1301910 1388704 1735880 2083056 2603820 2777408 3471760 4166112 5207640 5554816 6943520 8332224 10415280 13887040 16664448 20830560 27774080 41661120 83322240