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10000222350 = 2352671975051
BaseRepresentation
bin10010101000000111…
…10100100010001110
3221210221011221010120
421110003310202032
5130440024103400
64332151245410
7502546326126
oct112403644216
927727157116
1010000222350
114271957078
121b31079866
13c34a67741
146ac1bdc86
153d7e03ca0
hex2540f488e

10000222350 has 96 divisors (see below), whose sum is σ = 25303487616. Its totient is φ = 2613072000.

The previous prime is 10000222339. The next prime is 10000222363. The reversal of 10000222350 is 5322200001.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 1977325 + ... + 1982375.

It is an arithmetic number, because the mean of its divisors is an integer number (263577996).

Almost surely, 210000222350 is an apocalyptic number.

10000222350 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 10000222350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12651743808).

10000222350 is an abundant number, since it is smaller than the sum of its proper divisors (15303265266).

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

10000222350 is a wasteful number, since it uses less digits than its factorization.

10000222350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5330 (or 5325 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

Adding to 10000222350 its reverse (5322200001), we get a palindrome (15322422351).

The spelling of 10000222350 in words is "ten billion, two hundred twenty-two thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 67 75 134 150 197 201 335 394 402 591 670 985 1005 1182 1675 1970 2010 2955 3350 4925 5025 5051 5910 9850 10050 10102 13199 14775 15153 25255 26398 29550 30306 39597 50510 65995 75765 79194 126275 131990 151530 197985 252550 329975 338417 378825 395970 659950 676834 757650 989925 995047 1015251 1692085 1979850 1990094 2030502 2985141 3384170 4975235 5076255 5970282 8460425 9950470 10152510 14925705 16920850 24876175 25381275 29851410 49752350 50762550 66668149 74628525 133336298 149257050 200004447 333340745 400008894 666681490 1000022235 1666703725 2000044470 3333407450 5000111175 10000222350