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2229690240 = 27310559
BaseRepresentation
bin1000010011100110…
…0101111110000000
312202101120000000000
42010321211332000
514031300041430
61005130000000
7106153024431
oct20471457600
95671500000
102229690240
11a44669308
12522876000
13296c2864b
141721a9488
15d0b33e60
hex84e65f80

2229690240 has 352 divisors, whose sum is σ = 8131001400. Its totient is φ = 584506368.

The previous prime is 2229690187. The next prime is 2229690251. The reversal of 2229690240 is 420969222.

It is a happy number.

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 = 2229690195 and 2229690204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 43 ways as a sum of consecutive naturals, for example, 37791331 + ... + 37791389.

Almost surely, 22229690240 is an apocalyptic number.

2229690240 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 2229690240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4065500700).

2229690240 is an abundant number, since it is smaller than the sum of its proper divisors (5901311160).

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

2229690240 is an frugal number, since it uses more digits than its factorization.

2229690240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 2229690240 is about 47219.5959321975. The cubic root of 2229690240 is about 1306.4160609680.

The spelling of 2229690240 in words is "two billion, two hundred twenty-nine million, six hundred ninety thousand, two hundred forty".