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2278125216 = 25332636719
BaseRepresentation
bin1000011111001001…
…0110111010100000
312212202200202022000
42013302112322200
514131200001331
61014020044000
7110311513323
oct20762267240
95782622260
102278125216
11a69a40214
12536b33600
132a3c865b3
141787b67ba
15d50000e6
hex87c96ea0

2278125216 has 48 divisors (see below), whose sum is σ = 6644534400. Its totient is φ = 759374784.

The previous prime is 2278125211. The next prime is 2278125221. The reversal of 2278125216 is 6125218722.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2278125211) and next prime (2278125221).

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

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 (2278125211) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1317496 + ... + 1319223.

It is an arithmetic number, because the mean of its divisors is an integer number (138427800).

Almost surely, 22278125216 is an apocalyptic number.

It is an amenable number.

2278125216 is an abundant number, since it is smaller than the sum of its proper divisors (4366409184).

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

2278125216 is a wasteful number, since it uses less digits than its factorization.

2278125216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2636738 (or 2636724 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 2278125216 is about 47729.7099928336. The cubic root of 2278125216 is about 1315.8080237818.

The spelling of 2278125216 in words is "two billion, two hundred seventy-eight million, one hundred twenty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 2636719 5273438 7910157 10546876 15820314 21093752 23730471 31640628 42187504 47460942 63281256 71191413 84375008 94921884 126562512 142382826 189843768 253125024 284765652 379687536 569531304 759375072 1139062608 2278125216