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202097431224 = 2332131423151733
BaseRepresentation
bin1011110000110111110…
…0100001001010111000
3201022122111222020020100
42330031330201022320
511302343420244344
6232501533155400
720413106551563
oct2741574411270
9638574866210
10202097431224
1178788805337
123320202bb60
1316099a1aa40
149ad289d4da
1553cc680569
hex2f0df212b8

202097431224 has 96 divisors (see below), whose sum is σ = 589868959680. Its totient is φ = 62139716352.

The previous prime is 202097431201. The next prime is 202097431243. The reversal of 202097431224 is 422134790202.

It is a happy number.

202097431224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1256062 + ... + 1407794.

It is an arithmetic number, because the mean of its divisors is an integer number (6144468330).

Almost surely, 2202097431224 is an apocalyptic number.

202097431224 is a gapful number since it is divisible by the number (24) 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 202097431224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294934479840).

202097431224 is an abundant number, since it is smaller than the sum of its proper divisors (387771528456).

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

202097431224 is a wasteful number, since it uses less digits than its factorization.

202097431224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153181 (or 153174 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 202097431224 in words is "two hundred two billion, ninety-seven million, four hundred thirty-one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 1423 2846 4269 5692 8538 11384 12807 17076 18499 25614 34152 36998 51228 55497 73996 102456 110994 147992 151733 166491 221988 303466 332982 443976 455199 606932 665964 910398 1213864 1331928 1365597 1820796 1972529 2731194 3641592 3945058 5462388 5917587 7890116 10924776 11835174 15780232 17752761 23670348 35505522 47340696 71011044 142022088 215916059 431832118 647748177 863664236 1295496354 1727328472 1943244531 2590992708 2806908767 3886489062 5181985416 5613817534 7772978124 8420726301 11227635068 15545956248 16841452602 22455270136 25262178903 33682905204 50524357806 67365810408 101048715612 202097431224