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76223000 = 2353710889
BaseRepresentation
bin1001000101100…
…01001000011000
312022102112022002
410202301020120
5124003114000
611321420132
71613612330
oct442611030
9168375262
1076223000
113a031517
122163a648
1312a3a189
14a1a20c0
156a598d5
hex48b1218

76223000 has 64 divisors (see below), whose sum is σ = 203860800. Its totient is φ = 26131200.

The previous prime is 76222999. The next prime is 76223009. The reversal of 76223000 is 32267.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76223009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1556 + ... + 12444.

It is an arithmetic number, because the mean of its divisors is an integer number (3185325).

Almost surely, 276223000 is an apocalyptic number.

76223000 is a gapful number since it is divisible by the number (70) 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 76223000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101930400).

76223000 is an abundant number, since it is smaller than the sum of its proper divisors (127637800).

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

76223000 is a wasteful number, since it uses less digits than its factorization.

76223000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10917 (or 10903 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 20.

The square root of 76223000 is about 8730.5784458992. The cubic root of 76223000 is about 423.9962471485.

Adding to 76223000 its reverse (32267), we get a palindrome (76255267).

The spelling of 76223000 in words is "seventy-six million, two hundred twenty-three thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 700 875 1000 1400 1750 3500 7000 10889 21778 43556 54445 76223 87112 108890 152446 217780 272225 304892 381115 435560 544450 609784 762230 1088900 1361125 1524460 1905575 2177800 2722250 3048920 3811150 5444500 7622300 9527875 10889000 15244600 19055750 38111500 76223000