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201931830 = 232531157461
BaseRepresentation
bin11000000100100…
…11110000110110
3112001222012101200
430002103300312
5403143304310
632012033330
75001251352
oct1402236066
9461865350
10201931830
11a3a92411
1257762846
1332ab26b9
141cb66462
1512adb9c0
hexc093c36

201931830 has 96 divisors (see below), whose sum is σ = 546594048. Its totient is φ = 51667200.

The previous prime is 201931823. The next prime is 201931837. The reversal of 201931830 is 38139102.

201931830 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (201931823) and next prime (201931837).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 201931794 and 201931803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201931837) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 437800 + ... + 438260.

It is an arithmetic number, because the mean of its divisors is an integer number (5693688).

Almost surely, 2201931830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201931830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273297024).

201931830 is an abundant number, since it is smaller than the sum of its proper divisors (344662218).

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

201931830 is a wasteful number, since it uses less digits than its factorization.

201931830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 201931830 is about 14210.2719889522. The cubic root of 201931830 is about 586.6804192856.

The spelling of 201931830 in words is "two hundred one million, nine hundred thirty-one thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 90 93 155 157 186 279 310 314 461 465 471 558 785 922 930 942 1383 1395 1413 1570 2305 2355 2766 2790 2826 4149 4610 4710 4867 6915 7065 8298 9734 13830 14130 14291 14601 20745 24335 28582 29202 41490 42873 43803 48670 71455 72377 73005 85746 87606 128619 142910 144754 146010 214365 217131 219015 257238 361885 428730 434262 438030 643095 651393 723770 1085655 1286190 1302786 2171310 2243687 3256965 4487374 6513930 6731061 11218435 13462122 20193183 22436870 33655305 40386366 67310610 100965915 201931830