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201923124 = 2231310712097
BaseRepresentation
bin11000000100100…
…01101000110100
3112001221202110020
430002101220310
5403143014444
632011525140
75001214104
oct1402215064
9461852406
10201923124
11a3a86917
12577597b0
1332aab750
141cb63204
1512ad9119
hexc091a34

201923124 has 48 divisors (see below), whose sum is σ = 512180928. Its totient is φ = 61544448.

The previous prime is 201923087. The next prime is 201923129. The reversal of 201923124 is 421329102.

201923124 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 201923094 and 201923103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201923129) 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, 10644 + ... + 22740.

It is an arithmetic number, because the mean of its divisors is an integer number (10670436).

Almost surely, 2201923124 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 201923124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256090464).

201923124 is an abundant number, since it is smaller than the sum of its proper divisors (310257804).

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

201923124 is a wasteful number, since it uses less digits than its factorization.

201923124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12224 (or 12222 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 201923124 is about 14209.9656579458. The cubic root of 201923124 is about 586.6719878707.

The spelling of 201923124 in words is "two hundred one million, nine hundred twenty-three thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 107 156 214 321 428 642 1284 1391 2782 4173 5564 8346 12097 16692 24194 36291 48388 72582 145164 157261 314522 471783 629044 943566 1294379 1887132 2588758 3883137 5177516 7766274 15532548 16826927 33653854 50480781 67307708 100961562 201923124