Search a number
-
+
90900215500 = 22531743248701
BaseRepresentation
bin101010010101000010…
…0110011011011001100
322200121222210101122011
41110222010303123030
52442130423344000
6105431535031004
76365410040353
oct1245204633314
9280558711564
1090900215500
1135606890346
121574a36b464
138758492a83
1445846b299a
1525703ec2ba
hex152a1336cc

90900215500 has 96 divisors (see below), whose sum is σ = 215093406528. Its totient is φ = 33425280000.

The previous prime is 90900215467. The next prime is 90900215501. The reversal of 90900215500 is 551200909.

It is not an unprimeable number, because it can be changed into a prime (90900215501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 241150 + ... + 489850.

It is an arithmetic number, because the mean of its divisors is an integer number (2240556318).

Almost surely, 290900215500 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 90900215500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107546703264).

90900215500 is an abundant number, since it is smaller than the sum of its proper divisors (124193191028).

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

90900215500 is a wasteful number, since it uses less digits than its factorization.

90900215500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248780 (or 248768 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 31.

The spelling of 90900215500 in words is "ninety billion, nine hundred million, two hundred fifteen thousand, five hundred".

Divisors: 1 2 4 5 10 17 20 25 34 43 50 68 85 86 100 125 170 172 215 250 340 425 430 500 731 850 860 1075 1462 1700 2125 2150 2924 3655 4250 4300 5375 7310 8500 10750 14620 18275 21500 36550 73100 91375 182750 248701 365500 497402 994804 1243505 2487010 4227917 4974020 6217525 8455834 10694143 12435050 16911668 21139585 21388286 24870100 31087625 42279170 42776572 53470715 62175250 84558340 105697925 106941430 124350500 181800431 211395850 213882860 267353575 363600862 422791700 528489625 534707150 727201724 909002155 1056979250 1069414300 1336767875 1818004310 2113958500 2673535750 3636008620 4545010775 5347071500 9090021550 18180043100 22725053875 45450107750 90900215500