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1230440220 = 22355318167
BaseRepresentation
bin100100101010111…
…0000011100011100
310011202021211200000
41021111300130130
510004443041340
6322032334300
742330366162
oct11125603434
93152254600
101230440220
11581607a49
122a40a4390
13167bc1949
14b95b5232
157304ed30
hex4957071c

1230440220 has 144 divisors (see below), whose sum is σ = 3995916288. Its totient is φ = 317494080.

The previous prime is 1230440149. The next prime is 1230440257. The reversal of 1230440220 is 220440321.

1230440220 is a `hidden beast` number, since 1 + 2 + 3 + 0 + 440 + 220 = 666.

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 = 1230440193 and 1230440202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 146577 + ... + 154743.

Almost surely, 21230440220 is an apocalyptic number.

1230440220 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 1230440220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1997958144).

1230440220 is an abundant number, since it is smaller than the sum of its proper divisors (2765476068).

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

1230440220 is a wasteful number, since it uses less digits than its factorization.

1230440220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8222 (or 8208 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 1230440220 is about 35077.6313339427. The cubic root of 1230440220 is about 1071.5690782589.

Adding to 1230440220 its reverse (220440321), we get a palindrome (1450880541).

The spelling of 1230440220 in words is "one billion, two hundred thirty million, four hundred forty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 31 36 45 54 60 62 81 90 93 108 124 135 155 162 180 186 243 270 279 310 324 372 405 465 486 540 558 620 810 837 930 972 1116 1215 1395 1620 1674 1860 2430 2511 2790 3348 4185 4860 5022 5580 7533 8167 8370 10044 12555 15066 16334 16740 24501 25110 30132 32668 37665 40835 49002 50220 73503 75330 81670 98004 122505 147006 150660 163340 220509 245010 253177 294012 367515 441018 490020 506354 661527 735030 759531 882036 1012708 1102545 1265885 1323054 1470060 1519062 1984581 2205090 2278593 2531770 2646108 3038124 3307635 3797655 3969162 4410180 4557186 5063540 6615270 6835779 7595310 7938324 9114372 9922905 11392965 13230540 13671558 15190620 19845810 20507337 22785930 27343116 34178895 39691620 41014674 45571860 61522011 68357790 82029348 102536685 123044022 136715580 205073370 246088044 307610055 410146740 615220110 1230440220