Search a number
-
+
23152225503440 = 2451122391758833
BaseRepresentation
bin1010100001110100011000…
…01011010100100011010000
310000222022221101212120202202
411100322030023110203100
511013311224212102230
6121123552514302332
74606456505506325
oct520721413244320
9100868841776682
1023152225503440
1174168927a0600
12271b0815879a8
13cbc326483b17
145a0806300b4c
152a2398762a45
hex150e8c2d48d0

23152225503440 has 60 divisors (see below), whose sum is σ = 59167330035492. Its totient is φ = 8418991088640.

The previous prime is 23152225503439. The next prime is 23152225503529. The reversal of 23152225503440 is 4430552225132.

It can be written as a sum of positive squares in 2 ways, for example, as 13595768315536 + 9556457187904 = 3687244^2 + 3091352^2 .

It is a super-2 number, since 2×231522255034402 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 23152225503394 and 23152225503403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1195869737 + ... + 1195889096.

Almost surely, 223152225503440 is an apocalyptic number.

23152225503440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23152225503440 is an abundant number, since it is smaller than the sum of its proper divisors (36015104532052).

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

23152225503440 is a wasteful number, since it uses less digits than its factorization.

23152225503440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2391758868 (or 2391758851 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 38.

Adding to 23152225503440 its reverse (4430552225132), we get a palindrome (27582777728572).

The spelling of 23152225503440 in words is "twenty-three trillion, one hundred fifty-two billion, two hundred twenty-five million, five hundred three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 121 176 220 242 440 484 605 880 968 1210 1936 2420 4840 9680 2391758833 4783517666 9567035332 11958794165 19134070664 23917588330 26309347163 38268141328 47835176660 52618694326 95670353320 105237388652 131546735815 191340706640 210474777304 263093471630 289402818793 420949554608 526186943260 578805637586 1052373886520 1157611275172 1447014093965 2104747773040 2315222550344 2894028187930 4630445100688 5788056375860 11576112751720 23152225503440