Search a number
-
+
99232100 = 225211259139
BaseRepresentation
bin1011110101000…
…10100101100100
320220201111211222
411322202211210
5200400411400
613502515512
72313313262
oct572424544
9226644758
1099232100
1151017600
1229295b98
1317735126
14d271432
158aa2185
hex5ea2964

99232100 has 108 divisors (see below), whose sum is σ = 242432400. Its totient is φ = 35217600.

The previous prime is 99232099. The next prime is 99232139. The reversal of 99232100 is 123299.

It is a self number, because there is not a number n which added to its sum of digits gives 99232100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 713831 + ... + 713969.

Almost surely, 299232100 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 99232100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121216200).

99232100 is an abundant number, since it is smaller than the sum of its proper divisors (143200300).

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

99232100 is a wasteful number, since it uses less digits than its factorization.

99232100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 26.

The square root of 99232100 is about 9961.5310068282. The cubic root of 99232100 is about 462.9677371794.

Adding to 99232100 its reverse (123299), we get a palindrome (99355399).

The spelling of 99232100 in words is "ninety-nine million, two hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 59 100 110 118 121 139 220 236 242 275 278 295 484 550 556 590 605 649 695 1100 1180 1210 1298 1390 1475 1529 2420 2596 2780 2950 3025 3058 3245 3475 5900 6050 6116 6490 6950 7139 7645 8201 12100 12980 13900 14278 15290 16225 16402 16819 28556 30580 32450 32804 33638 35695 38225 41005 64900 67276 71390 76450 82010 84095 90211 142780 152900 164020 168190 178475 180422 205025 336380 356950 360844 410050 420475 451055 713900 820100 840950 902110 992321 1681900 1804220 1984642 2255275 3969284 4510550 4961605 9021100 9923210 19846420 24808025 49616050 99232100