Search a number
-
+
10222646250 = 235473107349
BaseRepresentation
bin10011000010101000…
…10011001111101010
3222101102201020100210
421201110103033222
5131413444140000
64410214441550
7511220026245
oct114124231752
928342636323
1010222646250
114376465483
121b936632b6
13c6bb7350b
146cd95c25c
153ec6dc350
hex2615133ea

10222646250 has 160 divisors (see below), whose sum is σ = 26215358400. Its totient is φ = 2655936000.

The previous prime is 10222646207. The next prime is 10222646257. The reversal of 10222646250 is 5264622201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (10222646257) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 29291076 + ... + 29291424.

It is an arithmetic number, because the mean of its divisors is an integer number (163845990).

Almost surely, 210222646250 is an apocalyptic number.

10222646250 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 10222646250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13107679200).

10222646250 is an abundant number, since it is smaller than the sum of its proper divisors (15992712150).

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

10222646250 is a wasteful number, since it uses less digits than its factorization.

10222646250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 10222646250 in words is "ten billion, two hundred twenty-two million, six hundred forty-six thousand, two hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 73 75 107 125 146 150 214 219 250 321 349 365 375 438 535 625 642 698 730 750 1047 1070 1095 1250 1605 1745 1825 1875 2094 2190 2675 3210 3490 3650 3750 5235 5350 5475 7811 8025 8725 9125 10470 10950 13375 15622 16050 17450 18250 23433 25477 26175 26750 27375 37343 39055 40125 43625 45625 46866 50954 52350 54750 66875 74686 76431 78110 80250 87250 91250 112029 117165 127385 130875 133750 136875 152862 186715 195275 200625 218125 224058 234330 254770 261750 273750 373430 382155 390550 401250 436250 560145 585825 636925 654375 764310 933575 976375 1120290 1171650 1273850 1308750 1867150 1910775 1952750 2726039 2800725 2929125 3184625 3821550 4667875 4881875 5452078 5601450 5858250 6369250 8178117 9335750 9553875 9763750 13630195 14003625 14645625 15923125 16356234 19107750 23339375 27260390 28007250 29291250 31846250 40890585 46678750 47769375 68150975 70018125 81781170 95538750 136301950 140036250 204452925 340754875 408905850 681509750 1022264625 1703774375 2044529250 3407548750 5111323125 10222646250