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1010225250 = 23353197877
BaseRepresentation
bin111100001101101…
…101000001100010
32121101220202112000
4330031231001202
54032104202000
6244124344430
734014526056
oct7415550142
92541822460
101010225250
11479278201
122423a5116
131313aa428
149824dc66
155da51000
hex3c36d062

1010225250 has 128 divisors (see below), whose sum is σ = 2949523200. Its totient is φ = 255182400.

The previous prime is 1010225207. The next prime is 1010225261. The reversal of 1010225250 is 525220101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 124312 + ... + 132188.

It is an arithmetic number, because the mean of its divisors is an integer number (23043150).

Almost surely, 21010225250 is an apocalyptic number.

1010225250 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 1010225250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1474761600).

1010225250 is an abundant number, since it is smaller than the sum of its proper divisors (1939297950).

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

1010225250 is a wasteful number, since it uses less digits than its factorization.

1010225250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7922 (or 7906 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 1010225250 is about 31784.0408066690. The cubic root of 1010225250 is about 1003.3968649103.

Adding to 1010225250 its reverse (525220101), we get a palindrome (1535445351).

The spelling of 1010225250 in words is "one billion, ten million, two hundred twenty-five thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 19 25 27 30 38 45 50 54 57 75 90 95 114 125 135 150 171 190 225 250 270 285 342 375 450 475 513 570 675 750 855 950 1026 1125 1350 1425 1710 2250 2375 2565 2850 3375 4275 4750 5130 6750 7125 7877 8550 12825 14250 15754 21375 23631 25650 39385 42750 47262 64125 70893 78770 118155 128250 141786 149663 196925 212679 236310 299326 354465 393850 425358 448989 590775 708930 748315 897978 984625 1063395 1181550 1346967 1496630 1772325 1969250 2126790 2244945 2693934 2953875 3544650 3741575 4040901 4489890 5316975 5907750 6734835 7483150 8081802 8861625 10633950 11224725 13469670 17723250 18707875 20204505 22449450 26584875 33674175 37415750 40409010 53169750 56123625 67348350 101022525 112247250 168370875 202045050 336741750 505112625 1010225250