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1230233220 = 2232517402037
BaseRepresentation
bin100100101010011…
…1101111010000100
310011201220022201100
41021110331322010
510004414430340
6322024100100
742325544526
oct11124757204
93151808640
101230233220
11581486477
122a4004630
13167b4b668
14b955da16
157300d830
hex4953de84

1230233220 has 72 divisors (see below), whose sum is σ = 3951229464. Its totient is φ = 308763648.

The previous prime is 1230233161. The next prime is 1230233231. The reversal of 1230233220 is 223320321.

It is a happy number.

1230233220 is a `hidden beast` number, since 12 + 302 + 332 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 691900416 + 538332804 = 26304^2 + 23202^2 .

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 = 1230233193 and 1230233202.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 197959 + ... + 204078.

It is an arithmetic number, because the mean of its divisors is an integer number (54878187).

Almost surely, 21230233220 is an apocalyptic number.

1230233220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1230233220 is an abundant number, since it is smaller than the sum of its proper divisors (2720996244).

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

1230233220 is a wasteful number, since it uses less digits than its factorization.

1230233220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402069 (or 402064 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 1230233220 is about 35074.6806115180. The cubic root of 1230233220 is about 1071.5089839838.

Adding to 1230233220 its reverse (223320321), we get a palindrome (1453553541).

The spelling of 1230233220 in words is "one billion, two hundred thirty million, two hundred thirty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 402037 804074 1206111 1608148 2010185 2412222 3618333 4020370 4824444 6030555 6834629 7236666 8040740 12061110 13669258 14473332 18091665 20503887 24122220 27338516 34173145 36183330 41007774 61511661 68346290 72366660 82015548 102519435 123023322 136692580 205038870 246046644 307558305 410077740 615116610 1230233220