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1232213220 = 2232573726431
BaseRepresentation
bin100100101110010…
…0001010011100100
310011212121220202200
41021130201103210
510010421310340
6322134334500
742351432240
oct11134412344
93155556680
101232213220
11582609037
122a47ba430
13168392964
14b9917420
15732a0330
hex497214e4

1232213220 has 144 divisors (see below), whose sum is σ = 4387289088. Its totient is φ = 274026240.

The previous prime is 1232213207. The next prime is 1232213233. The reversal of 1232213220 is 223122321.

1232213220 is a `hidden beast` number, since 1 + 232 + 213 + 220 = 666.

It is an interprime number because it is at equal distance from previous prime (1232213207) and next prime (1232213233).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1232213193 and 1232213202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33405 + ... + 59835.

Almost surely, 21232213220 is an apocalyptic number.

1232213220 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 1232213220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2193644544).

1232213220 is an abundant number, since it is smaller than the sum of its proper divisors (3155075868).

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

1232213220 is a wasteful number, since it uses less digits than its factorization.

1232213220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26490 (or 26485 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1232213220 is about 35102.8947524275. The cubic root of 1232213220 is about 1072.0835229068.

Adding to 1232213220 its reverse (223122321), we get a palindrome (1455335541).

The spelling of 1232213220 in words is "one billion, two hundred thirty-two million, two hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 37 42 45 60 63 70 74 84 90 105 111 126 140 148 180 185 210 222 252 259 315 333 370 420 444 518 555 630 666 740 777 1036 1110 1260 1295 1332 1554 1665 2220 2331 2590 3108 3330 3885 4662 5180 6660 7770 9324 11655 15540 23310 26431 46620 52862 79293 105724 132155 158586 185017 237879 264310 317172 370034 396465 475758 528620 555051 740068 792930 925085 951516 977947 1110102 1189395 1585860 1665153 1850170 1955894 2220204 2378790 2775255 2933841 3330306 3700340 3911788 4757580 4889735 5550510 5867682 6660612 6845629 8325765 8801523 9779470 11101020 11735364 13691258 14669205 16651530 17603046 19558940 20536887 27382516 29338410 33303060 34228145 35206092 41073774 44007615 58676820 61610661 68456290 82147548 88015230 102684435 123221322 136912580 176030460 205368870 246442644 308053305 410737740 616106610 1232213220