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10252223000 = 235313973757
BaseRepresentation
bin10011000110001010…
…01000001000011000
3222110111100220000222
421203011020020120
5131444032114000
64413152415212
7512026312655
oct114305101030
928414326028
1010252223000
114391126978
121ba1547508
13c7502a956
146d385ac2c
154000d0a85
hex263148218

10252223000 has 64 divisors (see below), whose sum is σ = 24163120800. Its totient is φ = 4071331200.

The previous prime is 10252222987. The next prime is 10252223011. The reversal of 10252223000 is 32225201.

It is a self number, because there is not a number n which added to its sum of digits gives 10252223000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102122 + ... + 175878.

Almost surely, 210252223000 is an apocalyptic number.

10252223000 is a gapful number since it is divisible by the number (10) 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 10252223000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12081560400).

10252223000 is an abundant number, since it is smaller than the sum of its proper divisors (13910897800).

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

10252223000 is a wasteful number, since it uses less digits than its factorization.

10252223000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73917 (or 73903 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

Adding to 10252223000 its reverse (32225201), we get a palindrome (10284448201).

The spelling of 10252223000 in words is "ten billion, two hundred fifty-two million, two hundred twenty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 139 200 250 278 500 556 695 1000 1112 1390 2780 3475 5560 6950 13900 17375 27800 34750 69500 73757 139000 147514 295028 368785 590056 737570 1475140 1843925 2950280 3687850 7375700 9219625 10252223 14751400 18439250 20504446 36878500 41008892 51261115 73757000 82017784 102522230 205044460 256305575 410088920 512611150 1025222300 1281527875 2050444600 2563055750 5126111500 10252223000