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2266376640 = 2635111571367
BaseRepresentation
bin1000011100010110…
…0010100111000000
312211221120212021120
42013011202213000
514120143023030
61012520152240
7110106612033
oct20705424700
95757525246
102266376640
11a63346350
12533008680
132a1701b88
14176dd901a
15d3e7e010
hex871629c0

2266376640 has 224 divisors, whose sum is σ = 7905682944. Its totient is φ = 545525760.

The previous prime is 2266376621. The next prime is 2266376647. The reversal of 2266376640 is 466736622.

It is a happy number.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2266376592 and 2266376601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2266376647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1657237 + ... + 1658603.

Almost surely, 22266376640 is an apocalyptic number.

2266376640 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 2266376640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3952841472).

2266376640 is an abundant number, since it is smaller than the sum of its proper divisors (5639306304).

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

2266376640 is a wasteful number, since it uses less digits than its factorization.

2266376640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1555 (or 1545 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 42.

The square root of 2266376640 is about 47606.4768702747. The cubic root of 2266376640 is about 1313.5421955324.

The spelling of 2266376640 in words is "two billion, two hundred sixty-six million, three hundred seventy-six thousand, six hundred forty".