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1230185476 = 22132192712
BaseRepresentation
bin100100101010011…
…0010010000000100
310011201210220020001
41021110302100010
510004411413401
6322023051044
742325255402
oct11124622004
93151726201
101230185476
11581453613
122a3ba0a84
13167b32a00
14b954a472
1572eee601
hex49532404

1230185476 has 81 divisors (see below), whose sum is σ = 2495455893. Its totient is φ = 530318880.

The previous prime is 1230185471. The next prime is 1230185477. The reversal of 1230185476 is 6745810321.

The square root of 1230185476 is 35074.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 181980100 + 1048205376 = 13490^2 + 32376^2 .

It is a super-2 number, since 2×12301854762 = 3026712610722693152, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1230185471) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 17326521 + ... + 17326591.

Almost surely, 21230185476 is an apocalyptic number.

1230185476 is the 35074-th square number.

It is an amenable number.

1230185476 is an abundant number, since it is smaller than the sum of its proper divisors (1265270417).

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

1230185476 is a wasteful number, since it uses less digits than its factorization.

1230185476 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The cubic root of 1230185476 is about 1071.4951224422.

Adding to 1230185476 its reverse (6745810321), we get a palindrome (7975995797).

It can be divided in two parts, 1230 and 185476, that multiplied together give a triangular number (228135480 = T21360).

The spelling of 1230185476 in words is "one billion, two hundred thirty million, one hundred eighty-five thousand, four hundred seventy-six".

Divisors: 1 2 4 13 19 26 38 52 71 76 142 169 247 284 338 361 494 676 722 923 988 1349 1444 1846 2698 3211 3692 4693 5041 5396 6422 9386 10082 11999 12844 17537 18772 20164 23998 25631 35074 47996 51262 61009 65533 70148 95779 102524 122018 131066 191558 227981 244036 262132 333203 383116 455962 666406 851929 911924 1245127 1332812 1703858 1819801 2490254 3407716 3639602 4331639 4980508 7279204 8663278 16186651 17326556 23657413 32373302 47314826 64746604 94629652 307546369 615092738 1230185476