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10227193152 = 2631114593319
BaseRepresentation
bin10011000011001011…
…01001010101000000
3222101202021020112120
421201211221111000
5131421130140102
64410500124240
7511303464441
oct114145512500
928352236476
1010227193152
114378a90650
121b95096680
13c6caa5ca7
146d03c32c8
153eccd96bc
hex261969540

10227193152 has 112 divisors (see below), whose sum is σ = 29548531200. Its totient is φ = 3096092160.

The previous prime is 10227193147. The next prime is 10227193181. The reversal of 10227193152 is 25139172201.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3079749 + ... + 3083067.

Almost surely, 210227193152 is an apocalyptic number.

10227193152 is a gapful number since it is divisible by the number (12) 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 10227193152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14774265600).

10227193152 is an abundant number, since it is smaller than the sum of its proper divisors (19321338048).

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

10227193152 is a wasteful number, since it uses less digits than its factorization.

10227193152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4804 (or 4794 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 33.

The spelling of 10227193152 in words is "ten billion, two hundred twenty-seven million, one hundred ninety-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 1459 2112 2918 3319 4377 5836 6638 8754 9957 11672 13276 16049 17508 19914 23344 26552 32098 35016 36509 39828 46688 48147 53104 64196 70032 73018 79656 93376 96294 106208 109527 128392 140064 146036 159312 192588 212416 219054 256784 280128 292072 318624 385176 438108 513568 584144 637248 770352 876216 1027136 1168288 1540704 1752432 2336576 3081408 3504864 4842421 7009728 9684842 14527263 19369684 29054526 38739368 53266631 58109052 77478736 106533262 116218104 154957472 159799893 213066524 232436208 309914944 319599786 426133048 464872416 639199572 852266096 929744832 1278399144 1704532192 2556798288 3409064384 5113596576 10227193152