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2227694040 = 233251113109397
BaseRepresentation
bin1000010011000111…
…1110100111011000
312202020210120201200
42010301332213120
514030242202130
61005015114200
7106130041545
oct20461764730
95666716650
102227694040
11a43525560
12522072960
132966a9b70
14171c09bcc
15d088c760
hex84c7e9d8

2227694040 has 384 divisors, whose sum is σ = 8605396800. Its totient is φ = 492687360.

The previous prime is 2227694023. The next prime is 2227694057. The reversal of 2227694040 is 404967222.

2227694040 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2227694023) and next prime (2227694057).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2227693986 and 2227694004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5611122 + ... + 5611518.

Almost surely, 22227694040 is an apocalyptic number.

2227694040 is a gapful number since it is divisible by the number (20) 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 2227694040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4302698400).

2227694040 is an abundant number, since it is smaller than the sum of its proper divisors (6377702760).

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

2227694040 is a wasteful number, since it uses less digits than its factorization.

2227694040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 2227694040 is about 47198.4537882334. The cubic root of 2227694040 is about 1306.0260746013.

The spelling of 2227694040 in words is "two billion, two hundred twenty-seven million, six hundred ninety-four thousand, forty".