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2228668992 = 26341131719
BaseRepresentation
bin1000010011010110…
…1100101001000000
312202022122010010000
42010311230221000
514031014401432
61005052040000
7106141242144
oct20465545100
95668563100
102228668992
11a44031000
12522463000
1329695b864
14171dc1224
15d09d157c
hex84d6ca40

2228668992 has 560 divisors, whose sum is σ = 8099023680. Its totient is φ = 602173440.

The previous prime is 2228668987. The next prime is 2228669057. The reversal of 2228668992 is 2998668222.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 117298359 + ... + 117298377.

Almost surely, 22228668992 is an apocalyptic number.

2228668992 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 2228668992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4049511840).

2228668992 is an abundant number, since it is smaller than the sum of its proper divisors (5870354688).

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

2228668992 is a wasteful number, since it uses less digits than its factorization.

2228668992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 52 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The square root of 2228668992 is about 47208.7808781375. The cubic root of 2228668992 is about 1306.2165745833.

The spelling of 2228668992 in words is "two billion, two hundred twenty-eight million, six hundred sixty-eight thousand, nine hundred ninety-two".