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114869232 = 24332953173
BaseRepresentation
bin1101101100011…
…00001111110000
322000010221222000
412312030033300
5213401303412
615222014000
72563241502
oct666141760
9260127860
10114869232
1159927a55
1232577300
131aa4b77a
1411381d72
15a1404dc
hex6d8c3f0

114869232 has 160 divisors (see below), whose sum is σ = 349531200. Its totient is φ = 36062208.

The previous prime is 114869213. The next prime is 114869303. The reversal of 114869232 is 232968411.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 663898 + ... + 664070.

It is an arithmetic number, because the mean of its divisors is an integer number (2184570).

Almost surely, 2114869232 is an apocalyptic number.

114869232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114869232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174765600).

114869232 is an abundant number, since it is smaller than the sum of its proper divisors (234661968).

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

114869232 is a wasteful number, since it uses less digits than its factorization.

114869232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 260 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 114869232 is about 10717.7064710693. The cubic root of 114869232 is about 486.1100192928.

The spelling of 114869232 in words is "one hundred fourteen million, eight hundred sixty-nine thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 36 48 53 54 58 72 87 106 108 116 144 159 173 174 212 216 232 261 318 346 348 424 432 464 477 519 522 636 692 696 783 848 954 1038 1044 1272 1384 1392 1431 1537 1557 1566 1908 2076 2088 2544 2768 2862 3074 3114 3132 3816 4152 4176 4611 4671 5017 5724 6148 6228 6264 7632 8304 9169 9222 9342 10034 11448 12296 12456 12528 13833 15051 18338 18444 18684 20068 22896 24592 24912 27507 27666 30102 36676 36888 37368 40136 41499 45153 55014 55332 60204 73352 73776 74736 80272 82521 82998 90306 110028 110664 120408 135459 146704 165042 165996 180612 220056 221328 240816 247563 265901 270918 330084 331992 361224 440112 495126 531802 541836 660168 663984 722448 797703 990252 1063604 1083672 1320336 1595406 1980504 2127208 2167344 2393109 3190812 3961008 4254416 4786218 6381624 7179327 9572436 12763248 14358654 19144872 28717308 38289744 57434616 114869232