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1220463144 = 233229599907
BaseRepresentation
bin100100010111110…
…1100101000101000
310011001111221200200
41020233230220220
54444414310034
6321034432200
742146523405
oct11057545050
93131457620
101220463144
11576a1302a
122a0892660
13165b0a654
14b81392ac
157222da99
hex48beca28

1220463144 has 96 divisors (see below), whose sum is σ = 3477708000. Its totient is φ = 386096256.

The previous prime is 1220463143. The next prime is 1220463151. The reversal of 1220463144 is 4413640221.

It is a happy number.

1220463144 is a `hidden beast` number, since 1 + 2 + 20 + 4 + 631 + 4 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (1220463143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 118239 + ... + 128145.

It is an arithmetic number, because the mean of its divisors is an integer number (36226125).

Almost surely, 21220463144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1220463144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1738854000).

1220463144 is an abundant number, since it is smaller than the sum of its proper divisors (2257244856).

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

1220463144 is a wasteful number, since it uses less digits than its factorization.

1220463144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10007 (or 10000 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 1220463144 is about 34935.1276511193. The cubic root of 1220463144 is about 1068.6649270131.

The spelling of 1220463144 in words is "one billion, two hundred twenty million, four hundred sixty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 59 72 87 116 118 174 177 232 236 261 348 354 472 522 531 696 708 1044 1062 1416 1711 2088 2124 3422 4248 5133 6844 9907 10266 13688 15399 19814 20532 29721 30798 39628 41064 59442 61596 79256 89163 118884 123192 178326 237768 287303 356652 574606 584513 713304 861909 1149212 1169026 1723818 1753539 2298424 2338052 2585727 3447636 3507078 4676104 5171454 5260617 6895272 7014156 10342908 10521234 14028312 16950877 20685816 21042468 33901754 42084936 50852631 67803508 101705262 135607016 152557893 203410524 305115786 406821048 610231572 1220463144