Search a number
-
+
200101500 = 22325353839
BaseRepresentation
bin10111110110101…
…00111001111100
3111221112012122200
423323110321330
5402211222000
631504511500
74646556204
oct1373247174
9457465580
10200101500
11a2a52245
125701b590
13325c1571
141c80b404
1512879500
hexbed4e7c

200101500 has 144 divisors (see below), whose sum is σ = 643930560. Its totient is φ = 52291200.

The previous prime is 200101493. The next prime is 200101507. The reversal of 200101500 is 5101002.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (200101493) and next prime (200101507).

It is a super-2 number, since 2×2001015002 = 80081220604500000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200101507) 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, 238081 + ... + 238919.

It is an arithmetic number, because the mean of its divisors is an integer number (4471740).

Almost surely, 2200101500 is an apocalyptic number.

200101500 is a gapful number since it is divisible by the number (20) 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 200101500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321965280).

200101500 is an abundant number, since it is smaller than the sum of its proper divisors (443829060).

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

200101500 is a wasteful number, since it uses less digits than its factorization.

200101500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 917 (or 902 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The square root of 200101500 is about 14145.7237354615. The cubic root of 200101500 is about 584.9024601786.

Adding to 200101500 its reverse (5101002), we get a palindrome (205202502).

The spelling of 200101500 in words is "two hundred million, one hundred one thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 53 60 75 90 100 106 125 150 159 180 212 225 250 265 300 318 375 450 477 500 530 636 750 795 839 900 954 1060 1125 1325 1500 1590 1678 1908 2250 2385 2517 2650 3180 3356 3975 4195 4500 4770 5034 5300 6625 7551 7950 8390 9540 10068 11925 12585 13250 15102 15900 16780 19875 20975 23850 25170 26500 30204 37755 39750 41950 44467 47700 50340 59625 62925 75510 79500 83900 88934 104875 119250 125850 133401 151020 177868 188775 209750 222335 238500 251700 266802 314625 377550 400203 419500 444670 533604 629250 667005 755100 800406 889340 943875 1111675 1258500 1334010 1600812 1887750 2001015 2223350 2668020 3335025 3775500 4002030 4446700 5558375 6670050 8004060 10005075 11116750 13340100 16675125 20010150 22233500 33350250 40020300 50025375 66700500 100050750 200101500