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2200405152 = 253112083717
BaseRepresentation
bin1000001100100111…
…1000010010100000
312200100110011102010
42003021320102200
514001300431102
61002202152520
7105346064241
oct20311702240
95610404363
102200405152
11a2a086a60
12514ab2740
13290b43baa
1416c344cc8
15cd29bd6c
hex832784a0

2200405152 has 48 divisors (see below), whose sum is σ = 6301163232. Its totient is φ = 666789120.

The previous prime is 2200405139. The next prime is 2200405153. The reversal of 2200405152 is 2515040022.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (2200405153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1040803 + ... + 1042914.

It is an arithmetic number, because the mean of its divisors is an integer number (131274234).

Almost surely, 22200405152 is an apocalyptic number.

2200405152 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2200405152 is an abundant number, since it is smaller than the sum of its proper divisors (4100758080).

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

2200405152 is a wasteful number, since it uses less digits than its factorization.

2200405152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2083741 (or 2083733 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 2200405152 is about 46908.4763342405. The cubic root of 2200405152 is about 1300.6712809245.

Adding to 2200405152 its reverse (2515040022), we get a palindrome (4715445174).

The spelling of 2200405152 in words is "two billion, two hundred million, four hundred five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 2083717 4167434 6251151 8334868 12502302 16669736 22920887 25004604 33339472 45841774 50009208 66678944 68762661 91683548 100018416 137525322 183367096 200036832 275050644 366734192 550101288 733468384 1100202576 2200405152