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2263166040 = 2335184710211
BaseRepresentation
bin1000011011100101…
…0010110001011000
312211201112202011110
42012321102301120
514113332303130
61012323300320
7110040410502
oct20671226130
95751482143
102263166040
11a61553163
12531b1a6a0
132a0b49705
14176800d72
15d3a47ab0
hex86e52c58

2263166040 has 64 divisors (see below), whose sum is σ = 6793839360. Its totient is φ = 603125120.

The previous prime is 2263166039. The next prime is 2263166041. The reversal of 2263166040 is 406613622.

It is an interprime number because it is at equal distance from previous prime (2263166039) and next prime (2263166041).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2263165989 and 2263166007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2263166041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 216535 + ... + 226745.

It is an arithmetic number, because the mean of its divisors is an integer number (106153740).

Almost surely, 22263166040 is an apocalyptic number.

2263166040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2263166040 is an abundant number, since it is smaller than the sum of its proper divisors (4530673320).

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

2263166040 is a wasteful number, since it uses less digits than its factorization.

2263166040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12072 (or 12068 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 2263166040 is about 47572.7447179580. The cubic root of 2263166040 is about 1312.9216379592.

Adding to 2263166040 its reverse (406613622), we get a palindrome (2669779662).

The spelling of 2263166040 in words is "two billion, two hundred sixty-three million, one hundred sixty-six thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1847 3694 5541 7388 9235 10211 11082 14776 18470 20422 22164 27705 30633 36940 40844 44328 51055 55410 61266 73880 81688 102110 110820 122532 153165 204220 221640 245064 306330 408440 612660 1225320 18859717 37719434 56579151 75438868 94298585 113158302 150877736 188597170 226316604 282895755 377194340 452633208 565791510 754388680 1131583020 2263166040