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201874332 = 2231110714293
BaseRepresentation
bin11000000100001…
…01101110011100
3112001212021112010
430002011232130
5403134434312
632010511220
75000621622
oct1402055634
9461767463
10201874332
11a3a531a0
1257735510
1332a9248a
141cb4d512
1512ac993c
hexc085b9c

201874332 has 48 divisors (see below), whose sum is σ = 518700672. Its totient is φ = 60598080.

The previous prime is 201874327. The next prime is 201874357. The reversal of 201874332 is 233478102.

It is a self number, because there is not a number n which added to its sum of digits gives 201874332.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6978 + ... + 21270.

It is an arithmetic number, because the mean of its divisors is an integer number (10806264).

Almost surely, 2201874332 is an apocalyptic number.

201874332 is a gapful number since it is divisible by the number (22) 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 201874332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259350336).

201874332 is an abundant number, since it is smaller than the sum of its proper divisors (316826340).

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

201874332 is a wasteful number, since it uses less digits than its factorization.

201874332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14418 (or 14416 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 201874332 is about 14208.2487309309. The cubic root of 201874332 is about 586.6247302726.

The spelling of 201874332 in words is "two hundred one million, eight hundred seventy-four thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 107 132 214 321 428 642 1177 1284 2354 3531 4708 7062 14124 14293 28586 42879 57172 85758 157223 171516 314446 471669 628892 943338 1529351 1886676 3058702 4588053 6117404 9176106 16822861 18352212 33645722 50468583 67291444 100937166 201874332