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2266373340 = 223257111011619
BaseRepresentation
bin1000011100010110…
…0001110011011100
312211221120200202100
42013011201303130
514120142421330
61012520125100
7110106566310
oct20705416334
95757520670
102266373340
11a63343920
12533006790
132a170051a
14176dd7b40
15d3e7d060
hex87161cdc

2266373340 has 288 divisors, whose sum is σ = 8661219840. Its totient is φ = 465984000.

The previous prime is 2266373311. The next prime is 2266373357. The reversal of 2266373340 is 433736622.

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 = 2266373295 and 2266373304.

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, 1399051 + ... + 1400669.

It is an arithmetic number, because the mean of its divisors is an integer number (30073680).

Almost surely, 22266373340 is an apocalyptic number.

2266373340 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 2266373340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4330609920).

2266373340 is an abundant number, since it is smaller than the sum of its proper divisors (6394846500).

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

2266373340 is a wasteful number, since it uses less digits than its factorization.

2266373340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1753 (or 1748 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 36.

The square root of 2266373340 is about 47606.4422111126. The cubic root of 2266373340 is about 1313.5415579962.

The spelling of 2266373340 in words is "two billion, two hundred sixty-six million, three hundred seventy-three thousand, three hundred forty".