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1223132340 = 2235891132027
BaseRepresentation
bin100100011100111…
…1000010010110100
310011020112120010210
41020321320102310
510001110213330
6321211545420
742211311333
oct11071702264
93136476123
101223132340
11578476481
122a175b270
13166533561
14b8631d1a
15725a98b0
hex48e784b4

1223132340 has 96 divisors (see below), whose sum is σ = 3495623040. Its totient is φ = 319492096.

The previous prime is 1223132329. The next prime is 1223132359. The reversal of 1223132340 is 432313221.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 602407 + ... + 604433.

It is an arithmetic number, because the mean of its divisors is an integer number (36412740).

Almost surely, 21223132340 is an apocalyptic number.

1223132340 is a gapful number since it is divisible by the number (10) 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 1223132340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1747811520).

1223132340 is an abundant number, since it is smaller than the sum of its proper divisors (2272490700).

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

1223132340 is a wasteful number, since it uses less digits than its factorization.

1223132340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2241 (or 2239 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 1223132340 is about 34973.3089655526. The cubic root of 1223132340 is about 1069.4434290642.

Adding to 1223132340 its reverse (432313221), we get a palindrome (1655445561).

The spelling of 1223132340 in words is "one billion, two hundred twenty-three million, one hundred thirty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 89 113 178 226 267 339 356 445 452 534 565 678 890 1068 1130 1335 1356 1695 1780 2027 2260 2670 3390 4054 5340 6081 6780 8108 10057 10135 12162 20114 20270 24324 30171 30405 40228 40540 50285 60342 60810 100570 120684 121620 150855 180403 201140 229051 301710 360806 458102 541209 603420 687153 721612 902015 916204 1082418 1145255 1374306 1804030 2164836 2290510 2706045 2748612 3435765 3608060 4581020 5412090 6871530 10824180 13743060 20385539 40771078 61156617 81542156 101927695 122313234 203855390 244626468 305783085 407710780 611566170 1223132340