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10222252164 = 223442174941
BaseRepresentation
bin10011000010100101…
…10011000010000100
3222101101222012210000
421201102303002010
5131413344032124
64410202201300
7511213465305
oct114122630204
928341865700
1010222252164
114376216393
121b934b3230
13c6ba66027
146cd8987ac
153ec6606c9
hex2614b3084

10222252164 has 60 divisors (see below), whose sum is σ = 26786818828. Its totient is φ = 3399278400.

The previous prime is 10222252121. The next prime is 10222252189. The reversal of 10222252164 is 46125222201.

It can be written as a sum of positive squares in 2 ways, for example, as 577440900 + 9644811264 = 24030^2 + 98208^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 98934 + ... + 173874.

Almost surely, 210222252164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10222252164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13393409414).

10222252164 is an abundant number, since it is smaller than the sum of its proper divisors (16564566664).

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

10222252164 is a wasteful number, since it uses less digits than its factorization.

10222252164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75378 (or 75367 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 10222252164 its reverse (46125222201), we get a palindrome (56347474365).

The spelling of 10222252164 in words is "ten billion, two hundred twenty-two million, two hundred fifty-two thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 421 842 1263 1684 2526 3789 5052 7578 11367 15156 22734 34101 45468 68202 74941 136404 149882 224823 299764 449646 674469 899292 1348938 2023407 2697876 4046814 6070221 8093628 12140442 24280884 31550161 63100322 94650483 126200644 189300966 283951449 378601932 567902898 851854347 1135805796 1703708694 2555563041 3407417388 5111126082 10222252164