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10233211164 = 223111374391289
BaseRepresentation
bin10011000011111001…
…00110100100011100
3222102011120222200220
421201330212210130
5131424200224124
64411233121340
7511405600611
oct114174464434
928364528626
1010233211164
114381421010
121b970b9250
13c71102247
146d110c508
153ed5c7879
hex261f2691c

10233211164 has 96 divisors (see below), whose sum is σ = 26318476800. Its totient is φ = 3068943360.

The previous prime is 10233211151. The next prime is 10233211169. The reversal of 10233211164 is 46111233201.

It is a happy number.

It is a super-2 number, since 2×102332111642 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10233211169) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7938232 + ... + 7939520.

It is an arithmetic number, because the mean of its divisors is an integer number (274150800).

Almost surely, 210233211164 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 10233211164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13159238400).

10233211164 is an abundant number, since it is smaller than the sum of its proper divisors (16085265636).

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

10233211164 is a wasteful number, since it uses less digits than its factorization.

10233211164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1883 (or 1881 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 10233211164 its reverse (46111233201), we get a palindrome (56344444365).

The spelling of 10233211164 in words is "ten billion, two hundred thirty-three million, two hundred eleven thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 137 274 411 439 548 822 878 1289 1317 1507 1644 1756 2578 2634 3014 3867 4521 4829 5156 5268 6028 7734 9042 9658 14179 14487 15468 18084 19316 28358 28974 42537 56716 57948 60143 85074 120286 170148 176593 180429 240572 353186 360858 529779 565871 661573 706372 721716 1059558 1131742 1323146 1697613 1942523 1984719 2119116 2263484 2646292 3395226 3885046 3969438 5827569 6224581 6790452 7770092 7938876 11655138 12449162 18673743 23310276 24898324 37347486 74694972 77524327 155048654 232572981 310097308 465145962 852767597 930291924 1705535194 2558302791 3411070388 5116605582 10233211164