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2230876032 = 2737112193
BaseRepresentation
bin1000010011111000…
…0111011110000000
312202110210020121020
42010332013132000
514032101013112
61005211225440
7106166063520
oct20476073600
95673706536
102230876032
11a452a9200
12523148280
132972522b8
141723d7680
15d0cba48c
hex84f87780

2230876032 has 384 divisors, whose sum is σ = 7857427200. Its totient is φ = 548951040.

The previous prime is 2230876003. The next prime is 2230876049. The reversal of 2230876032 is 2306780322.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×22308760323 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 2230875984 and 2230876002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 117414519 + ... + 117414537.

It is an arithmetic number, because the mean of its divisors is an integer number (20462050).

Almost surely, 22230876032 is an apocalyptic number.

2230876032 is a gapful number since it is divisible by the number (22) 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 2230876032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3928713600).

2230876032 is an abundant number, since it is smaller than the sum of its proper divisors (5626551168).

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

2230876032 is an equidigital number, since it uses as much as digits as its factorization.

2230876032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 2230876032 is about 47232.1504062646. The cubic root of 2230876032 is about 1306.6476122910.

It can be divided in two parts, 22308 and 76032, that multiplied together give a square (1696121856 = 411842).

The spelling of 2230876032 in words is "two billion, two hundred thirty million, eight hundred seventy-six thousand, thirty-two".