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100225650 = 23527531801
BaseRepresentation
bin1011111100101…
…01001001110010
320222120222202010
411332111021302
5201124210100
613540103350
72324622030
oct576251162
9228528663
10100225650
1151636018
1229694b56
13179c2425
14d44d550
158beb750
hex5f95272

100225650 has 96 divisors (see below), whose sum is σ = 289588608. Its totient is φ = 22464000.

The previous prime is 100225613. The next prime is 100225661. The reversal of 100225650 is 56522001.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54750 + ... + 56550.

It is an arithmetic number, because the mean of its divisors is an integer number (3016548).

Almost surely, 2100225650 is an apocalyptic number.

100225650 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100225650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144794304).

100225650 is an abundant number, since it is smaller than the sum of its proper divisors (189362958).

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

100225650 is a wasteful number, since it uses less digits than its factorization.

100225650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1876 (or 1871 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 100225650 is about 10011.2761424306. The cubic root of 100225650 is about 464.5077459300.

Adding to 100225650 its reverse (56522001), we get a palindrome (156747651).

The spelling of 100225650 in words is "one hundred million, two hundred twenty-five thousand, six hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 53 70 75 105 106 150 159 175 210 265 318 350 371 525 530 742 795 1050 1113 1325 1590 1801 1855 2226 2650 3602 3710 3975 5403 5565 7950 9005 9275 10806 11130 12607 18010 18550 25214 27015 27825 37821 45025 54030 55650 63035 75642 90050 95453 126070 135075 189105 190906 270150 286359 315175 378210 477265 572718 630350 668171 945525 954530 1336342 1431795 1891050 2004513 2386325 2863590 3340855 4009026 4772650 6681710 7158975 10022565 14317950 16704275 20045130 33408550 50112825 100225650