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74022000 = 2435313273
BaseRepresentation
bin1000110100101…
…11110001110000
312011021201002120
410122113301300
5122422201000
611202314240
71556114403
oct432276160
9164251076
1074022000
1138868908
1220958980
1312449400
149b8bd3a
1567726a0
hex4697c70

74022000 has 240 divisors, whose sum is σ = 261956448. Its totient is φ = 17971200.

The previous prime is 74021999. The next prime is 74022001. The reversal of 74022000 is 22047.

It is an interprime number because it is at equal distance from previous prime (74021999) and next prime (74022001).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74022001) 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 47 ways as a sum of consecutive naturals, for example, 1013964 + ... + 1014036.

Almost surely, 274022000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130978224).

74022000 is an abundant number, since it is smaller than the sum of its proper divisors (187934448).

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

74022000 is a wasteful number, since it uses less digits than its factorization.

74022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 15.

The square root of 74022000 is about 8603.6038960426. The cubic root of 74022000 is about 419.8752463945.

Adding to 74022000 its reverse (22047), we get a palindrome (74044047).

The spelling of 74022000 in words is "seventy-four million, twenty-two thousand".