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114474064 = 2453612213
BaseRepresentation
bin1101101001010…
…11110001010000
321222101212220011
412310223301100
5213301132224
615205324304
72560004425
oct664536120
9258355804
10114474064
1159688071
1232406694
131a940943
14112bbd4c
15a0b3394
hex6d2bc50

114474064 has 40 divisors (see below), whose sum is σ = 229786632. Its totient is φ = 55211520.

The previous prime is 114474053. The next prime is 114474067. The reversal of 114474064 is 460474411.

It can be written as a sum of positive squares in 4 ways, for example, as 31809600 + 82664464 = 5640^2 + 9092^2 .

It is a super-2 number, since 2×1144740642 = 26208622657352192, which contains 22 as substring.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114474067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50622 + ... + 52834.

Almost surely, 2114474064 is an apocalyptic number.

It is an amenable number.

114474064 is an abundant number, since it is smaller than the sum of its proper divisors (115312568).

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

114474064 is a wasteful number, since it uses less digits than its factorization.

114474064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2335 (or 2329 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 31.

The square root of 114474064 is about 10699.2553011880. The cubic root of 114474064 is about 485.5519475280.

The spelling of 114474064 in words is "one hundred fourteen million, four hundred seventy-four thousand, sixty-four".

Divisors: 1 2 4 8 16 53 61 106 122 212 244 424 488 848 976 2213 3233 4426 6466 8852 12932 17704 25864 35408 51728 117289 134993 234578 269986 469156 539972 938312 1079944 1876624 2159888 7154629 14309258 28618516 57237032 114474064