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2023224440 = 235232975833
BaseRepresentation
bin111100010010111…
…1111010001111000
312020000001110011112
41320211333101320
513120421140230
6532432415452
7101065060346
oct17045772170
95200043145
102023224440
1194906a516
124856a7588
13263219333
141529c2996
15bc94dd95
hex7897f478

2023224440 has 64 divisors (see below), whose sum is σ = 4914043200. Its totient is φ = 747400192.

The previous prime is 2023224439. The next prime is 2023224461. The reversal of 2023224440 is 444223202.

It is a super-2 number, since 2×20232244402 = 8186874269226627200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

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, 11237 + ... + 64596.

It is an arithmetic number, because the mean of its divisors is an integer number (76781925).

Almost surely, 22023224440 is an apocalyptic number.

2023224440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2023224440 is an abundant number, since it is smaller than the sum of its proper divisors (2890818760).

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

2023224440 is a wasteful number, since it uses less digits than its factorization.

2023224440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75896 (or 75892 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 23.

The square root of 2023224440 is about 44980.2672290861. The cubic root of 2023224440 is about 1264.7791206156.

Adding to 2023224440 its reverse (444223202), we get a palindrome (2467447642).

The spelling of 2023224440 in words is "two billion, twenty-three million, two hundred twenty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 23 29 40 46 58 92 115 116 145 184 230 232 290 460 580 667 920 1160 1334 2668 3335 5336 6670 13340 26680 75833 151666 303332 379165 606664 758330 1516660 1744159 2199157 3033320 3488318 4398314 6976636 8720795 8796628 10995785 13953272 17441590 17593256 21991570 34883180 43983140 50580611 69766360 87966280 101161222 202322444 252903055 404644888 505806110 1011612220 2023224440