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2230877376 = 26347134729
BaseRepresentation
bin1000010011111000…
…0111110011000000
312202110210022110000
42010332013303000
514032101034001
61005211240000
7106166100450
oct20476076300
95673708400
102230877376
11a452aa212
12523149000
13297252ab0
141723d7d60
15d0cbaa86
hex84f87cc0

2230877376 has 280 divisors, whose sum is σ = 8140821920. Its totient is φ = 588238848.

The previous prime is 2230877353. The next prime is 2230877399. The reversal of 2230877376 is 6737780322.

It is an interprime number because it is at equal distance from previous prime (2230877353) and next prime (2230877399).

It is a super-3 number, since 3×22308773763 (a number of 29 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 469380 + ... + 474108.

It is an arithmetic number, because the mean of its divisors is an integer number (29074364).

Almost surely, 22230877376 is an apocalyptic number.

2230877376 is a gapful number since it is divisible by the number (26) 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 2230877376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4070410960).

2230877376 is an abundant number, since it is smaller than the sum of its proper divisors (5909944544).

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

2230877376 is a wasteful number, since it uses less digits than its factorization.

2230877376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4773 (or 4754 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 45.

The square root of 2230877376 is about 47232.1646338594. The cubic root of 2230877376 is about 1306.6478746892.

The spelling of 2230877376 in words is "two billion, two hundred thirty million, eight hundred seventy-seven thousand, three hundred seventy-six".