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2204325024 = 253113756417
BaseRepresentation
bin1000001101100011…
…0101010010100000
312200121211022110120
42003120311102200
514003301400044
61002422200240
7105424311366
oct20330652240
95617738416
102204325024
11a31314020
12516283080
132918b7145
1416ca85636
15cd7c3519
hex836354a0

2204325024 has 96 divisors (see below), whose sum is σ = 6483105216. Its totient is φ = 649912320.

The previous prime is 2204325023. The next prime is 2204325047. The reversal of 2204325024 is 4205234022.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×22043250242 = 9718097622865201152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2204324985 and 2204325003.

It is not an unprimeable number, because it can be changed into a prime (2204325023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10864 + ... + 67280.

It is an arithmetic number, because the mean of its divisors is an integer number (67532346).

Almost surely, 22204325024 is an apocalyptic number.

2204325024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2204325024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3241552608).

2204325024 is an abundant number, since it is smaller than the sum of its proper divisors (4278780192).

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

2204325024 is a wasteful number, since it uses less digits than its factorization.

2204325024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56478 (or 56470 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 2204325024 is about 46950.2398715917. The cubic root of 2204325024 is about 1301.4431751975.

Adding to 2204325024 its reverse (4205234022), we get a palindrome (6409559046).

It can be divided in two parts, 220432 and 5024, that added together give a triangular number (225456 = T671).

The spelling of 2204325024 in words is "two billion, two hundred four million, three hundred twenty-five thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 37 44 48 66 74 88 96 111 132 148 176 222 264 296 352 407 444 528 592 814 888 1056 1184 1221 1628 1776 2442 3256 3552 4884 6512 9768 13024 19536 39072 56417 112834 169251 225668 338502 451336 620587 677004 902672 1241174 1354008 1805344 1861761 2087429 2482348 2708016 3723522 4174858 4964696 5416032 6262287 7447044 8349716 9929392 12524574 14894088 16699432 19858784 22961719 25049148 29788176 33398864 45923438 50098296 59576352 66797728 68885157 91846876 100196592 137770314 183693752 200393184 275540628 367387504 551081256 734775008 1102162512 2204325024