Search a number
-
+
223134165160 = 235101373148073
BaseRepresentation
bin1100111111001111010…
…1010010100010101000
3210022221121022001002021
43033303311102202220
512123434321241120
6250301215314224
722056321052444
oct3176365224250
9708847261067
10223134165160
11866a3467965
12372b321b974
13180701248ba
14ab2a735824
155c0e436aaa
hex33f3d528a8

223134165160 has 64 divisors (see below), whose sum is σ = 508385425680. Its totient is φ = 88132454400.

The previous prime is 223134165101. The next prime is 223134165173. The reversal of 223134165160 is 61561431322.

It can be written as a sum of positive squares in 8 ways, for example, as 109213064676 + 113921100484 = 330474^2 + 337522^2 .

It is a super-3 number, since 3×2231341651603 (a number of 35 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1432884 + ... + 1580956.

Almost surely, 2223134165160 is an apocalyptic number.

223134165160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223134165160 is an abundant number, since it is smaller than the sum of its proper divisors (285251260520).

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

223134165160 is a wasteful number, since it uses less digits than its factorization.

223134165160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148558 (or 148554 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

Adding to 223134165160 its reverse (61561431322), we get a palindrome (284695596482).

The spelling of 223134165160 in words is "two hundred twenty-three billion, one hundred thirty-four million, one hundred sixty-five thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 101 202 373 404 505 746 808 1010 1492 1865 2020 2984 3730 4040 7460 14920 37673 75346 148073 150692 188365 296146 301384 376730 592292 740365 753460 1184584 1480730 1506920 2961460 5922920 14955373 29910746 55231229 59821492 74776865 110462458 119642984 149553730 220924916 276156145 299107460 441849832 552312290 598214920 1104624580 2209249160 5578354129 11156708258 22313416516 27891770645 44626833032 55783541290 111567082580 223134165160