Search a number
-
+
34534522200 = 23352139414083
BaseRepresentation
bin100000001010011010…
…101111110101011000
310022010202210111102210
4200022122233311120
51031211314202300
623510454355120
72331540411123
oct401232576530
9108122714383
1034534522200
1113711923742
12683965baa0
133344968029
14195877d3ba
15d71c86050
hex80a6afd58

34534522200 has 96 divisors (see below), whose sum is σ = 107827473600. Its totient is φ = 9142930560.

The previous prime is 34534522181. The next prime is 34534522201. The reversal of 34534522200 is 222543543.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34534522201) 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 23 ways as a sum of consecutive naturals, for example, 123642 + ... + 290441.

It is an arithmetic number, because the mean of its divisors is an integer number (1123202850).

Almost surely, 234534522200 is an apocalyptic number.

34534522200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34534522200 is an abundant number, since it is smaller than the sum of its proper divisors (73292951400).

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

34534522200 is a wasteful number, since it uses less digits than its factorization.

34534522200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414241 (or 414232 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

The spelling of 34534522200 in words is "thirty-four billion, five hundred thirty-four million, five hundred twenty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 139 150 200 278 300 417 556 600 695 834 1112 1390 1668 2085 2780 3336 3475 4170 5560 6950 8340 10425 13900 16680 20850 27800 41700 83400 414083 828166 1242249 1656332 2070415 2484498 3312664 4140830 4968996 6211245 8281660 9937992 10352075 12422490 16563320 20704150 24844980 31056225 41408300 49689960 57557537 62112450 82816600 115115074 124224900 172672611 230230148 248449800 287787685 345345222 460460296 575575370 690690444 863363055 1151150740 1381380888 1438938425 1726726110 2302301480 2877876850 3453452220 4316815275 5755753700 6906904440 8633630550 11511507400 17267261100 34534522200