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74225900 = 22527107991
BaseRepresentation
bin1000110110010…
…01100011101100
312011200001210102
410123021203230
5123000212100
611210530232
71560624020
oct433114354
9164601712
1074225900
1138998021
1220a36978
13124bb168
149c02380
1567b2cd5
hex46c98ec

74225900 has 72 divisors (see below), whose sum is σ = 185988096. Its totient is φ = 25185600.

The previous prime is 74225887. The next prime is 74225903. The reversal of 74225900 is 952247.

It is not an unprimeable number, because it can be changed into a prime (74225903) 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 23 ways as a sum of consecutive naturals, for example, 74405 + ... + 75395.

It is an arithmetic number, because the mean of its divisors is an integer number (2583168).

Almost surely, 274225900 is an apocalyptic number.

74225900 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 74225900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92994048).

74225900 is an abundant number, since it is smaller than the sum of its proper divisors (111762196).

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

74225900 is a wasteful number, since it uses less digits than its factorization.

74225900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1119 (or 1112 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 74225900 is about 8615.4454324776. The cubic root of 74225900 is about 420.2604205038.

The spelling of 74225900 in words is "seventy-four million, two hundred twenty-five thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 107 140 175 214 350 428 535 700 749 991 1070 1498 1982 2140 2675 2996 3745 3964 4955 5350 6937 7490 9910 10700 13874 14980 18725 19820 24775 27748 34685 37450 49550 69370 74900 99100 106037 138740 173425 212074 346850 424148 530185 693700 742259 1060370 1484518 2120740 2650925 2969036 3711295 5301850 7422590 10603700 14845180 18556475 37112950 74225900