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2314136664 = 2332729158329
BaseRepresentation
bin1000100111101110…
…1110110001011000
312222021110022201100
42021323232301120
514214404333124
61021343551400
7111226560060
oct21173566130
95867408640
102314136664
11a882a7144
12546bbb560
132ab584848
1417d4ac3a0
15d82651c9
hex89eeec58

2314136664 has 96 divisors (see below), whose sum is σ = 7409844000. Its totient is φ = 638378496.

The previous prime is 2314136653. The next prime is 2314136683. The reversal of 2314136664 is 4666314132.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64549 + ... + 93780.

It is an arithmetic number, because the mean of its divisors is an integer number (77185875).

Almost surely, 22314136664 is an apocalyptic number.

2314136664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2314136664 is an abundant number, since it is smaller than the sum of its proper divisors (5095707336).

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

2314136664 is a wasteful number, since it uses less digits than its factorization.

2314136664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158377 (or 158370 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 2314136664 is about 48105.4743662299. The cubic root of 2314136664 is about 1322.7050176786.

The spelling of 2314136664 in words is "two billion, three hundred fourteen million, one hundred thirty-six thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 29 36 42 56 58 63 72 84 87 116 126 168 174 203 232 252 261 348 406 504 522 609 696 812 1044 1218 1624 1827 2088 2436 3654 4872 7308 14616 158329 316658 474987 633316 949974 1108303 1266632 1424961 1899948 2216606 2849922 3324909 3799896 4433212 4591541 5699844 6649818 8866424 9183082 9974727 11399688 13299636 13774623 18366164 19949454 26599272 27549246 32140787 36732328 39898908 41323869 55098492 64281574 79797816 82647738 96422361 110196984 128563148 165295476 192844722 257126296 289267083 330590952 385689444 578534166 771378888 1157068332 2314136664