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2204242884 = 2232377322669
BaseRepresentation
bin1000001101100010…
…0001001111000100
312200121200010210100
42003120201033010
514003241233014
61002420324100
7105423520044
oct20330411704
95617603710
102204242884
11a31268338
12516243630
1329188893c
1416ca63724
15cd7a9009
hex836213c4

2204242884 has 72 divisors (see below), whose sum is σ = 5801071640. Its totient is φ = 705065472.

The previous prime is 2204242819. The next prime is 2204242889. The reversal of 2204242884 is 4882424022.

It is a happy number.

2204242884 is a `hidden beast` number, since 220 + 4 + 2 + 428 + 8 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1480094784 + 724148100 = 38472^2 + 26910^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2204242889) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85902 + ... + 108570.

Almost surely, 22204242884 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2204242884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2900535820).

2204242884 is an abundant number, since it is smaller than the sum of its proper divisors (3596828756).

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

2204242884 is a wasteful number, since it uses less digits than its factorization.

2204242884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22789 (or 22784 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

The square root of 2204242884 is about 46949.3651075283. The cubic root of 2204242884 is about 1301.4270097244.

The spelling of 2204242884 in words is "two billion, two hundred four million, two hundred forty-two thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 36 37 73 74 111 146 148 219 222 292 333 438 444 657 666 876 1314 1332 2628 2701 5402 8103 10804 16206 22669 24309 32412 45338 48618 68007 90676 97236 136014 204021 272028 408042 816084 838753 1654837 1677506 2516259 3309674 3355012 4964511 5032518 6619348 7548777 9929022 10065036 14893533 15097554 19858044 29787066 30195108 59574132 61228969 122457938 183686907 244915876 367373814 551060721 734747628 1102121442 2204242884