Search a number
-
+
23322001120 = 2551113251137
BaseRepresentation
bin10101101110000110…
…010111111011100000
32020012100110102002021
4111232012113323200
5340230413013440
614414115231224
71453640511235
oct255606277340
966170412067
1023322001120
1199887306a0
12462a5a8514
1322789c1182
1411b358b78c
1591771784a
hex56e197ee0

23322001120 has 48 divisors (see below), whose sum is σ = 60107161968. Its totient is φ = 8480727040.

The previous prime is 23322001099. The next prime is 23322001169. The reversal of 23322001120 is 2110022332.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 23322001094 and 23322001103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6623809 + ... + 6627328.

It is an arithmetic number, because the mean of its divisors is an integer number (1252232541).

Almost surely, 223322001120 is an apocalyptic number.

23322001120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23322001120 is an abundant number, since it is smaller than the sum of its proper divisors (36785160848).

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

23322001120 is a wasteful number, since it uses less digits than its factorization.

23322001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13251163 (or 13251155 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 23322001120 its reverse (2110022332), we get a palindrome (25432023452).

The spelling of 23322001120 in words is "twenty-three billion, three hundred twenty-two million, one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 13251137 26502274 53004548 66255685 106009096 132511370 145762507 212018192 265022740 291525014 424036384 530045480 583050028 728812535 1060090960 1166100056 1457625070 2120181920 2332200112 2915250140 4664400224 5830500280 11661000560 23322001120