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1220104314 = 23211131727883
BaseRepresentation
bin100100010111001…
…0101000001111010
310011000211201110200
41020232111001322
54444321314224
6321023023030
742143500302
oct11056250172
93130751420
101220104314
11576798480
122a073aa76
13165a13220
14b8084602
15721ac5c9
hex48b9507a

1220104314 has 96 divisors (see below), whose sum is σ = 3288527424. Its totient is φ = 321200640.

The previous prime is 1220104313. The next prime is 1220104339. The reversal of 1220104314 is 4134010221.

1220104314 is a `hidden beast` number, since 1 + 220 + 10 + 431 + 4 = 666.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1220104313) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29817 + ... + 57699.

It is an arithmetic number, because the mean of its divisors is an integer number (34255494).

Almost surely, 21220104314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1220104314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1644263712).

1220104314 is an abundant number, since it is smaller than the sum of its proper divisors (2068423110).

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

1220104314 is a wasteful number, since it uses less digits than its factorization.

1220104314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27932 (or 27929 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1220104314 is about 34929.9916117940. The cubic root of 1220104314 is about 1068.5601835460.

Adding to 1220104314 its reverse (4134010221), we get a palindrome (5354114535).

The spelling of 1220104314 in words is "one billion, two hundred twenty million, one hundred four thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 11 13 17 18 22 26 33 34 39 51 66 78 99 102 117 143 153 187 198 221 234 286 306 374 429 442 561 663 858 1122 1287 1326 1683 1989 2431 2574 3366 3978 4862 7293 14586 21879 27883 43758 55766 83649 167298 250947 306713 362479 474011 501894 613426 724958 920139 948022 1087437 1422033 1840278 2174874 2760417 2844066 3262311 3987269 4266099 5214121 5520834 6162143 6524622 7974538 8532198 10428242 11961807 12324286 15642363 18486429 23923614 31284726 35885421 36972858 46927089 55459287 67783573 71770842 93854178 110918574 135567146 203350719 406701438 610052157 1220104314