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231899616 = 253213232693
BaseRepresentation
bin11011101001010…
…00000111100000
3121011100201110200
431310220013200
5433331241431
635002225200
75514054114
oct1564500740
9534321420
10231899616
111099a0683
12657b5200
1339075b10
1422b27744
151555aee6
hexdd281e0

231899616 has 144 divisors (see below), whose sum is σ = 741345696. Its totient is φ = 68226048.

The previous prime is 231899537. The next prime is 231899621. The reversal of 231899616 is 616998132.

It is a happy number.

231899616 is a `hidden beast` number, since 23 + 1 + 8 + 9 + 9 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-4 number, since 4×2318996164 (a number of 35 digits) contains 4444 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 23 ways as a sum of consecutive naturals, for example, 84766 + ... + 87458.

It is an arithmetic number, because the mean of its divisors is an integer number (5148234).

Almost surely, 2231899616 is an apocalyptic number.

231899616 is a gapful number since it is divisible by the number (26) 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 231899616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370672848).

231899616 is an abundant number, since it is smaller than the sum of its proper divisors (509446080).

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

231899616 is a wasteful number, since it uses less digits than its factorization.

231899616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2745 (or 2734 counting only the distinct ones).

The product of its digits is 139968, while the sum is 45.

The square root of 231899616 is about 15228.2505889547. The cubic root of 231899616 is about 614.3747283713.

The spelling of 231899616 in words is "two hundred thirty-one million, eight hundred ninety-nine thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 23 24 26 32 36 39 46 48 52 69 72 78 92 96 104 117 138 144 156 184 207 208 234 276 288 299 312 368 414 416 468 552 598 624 736 828 897 936 1104 1196 1248 1656 1794 1872 2208 2392 2691 2693 3312 3588 3744 4784 5382 5386 6624 7176 8079 9568 10764 10772 14352 16158 21528 21544 24237 28704 32316 35009 43056 43088 48474 61939 64632 70018 86112 86176 96948 105027 123878 129264 140036 185817 193896 210054 247756 258528 280072 315081 371634 387792 420108 495512 557451 560144 630162 743268 775584 805207 840216 991024 1114902 1120288 1260324 1486536 1610414 1680432 1982048 2229804 2415621 2520648 2973072 3220828 3360864 4459608 4831242 5041296 5946144 6441656 7246863 8919216 9662484 10082592 12883312 14493726 17838432 19324968 25766624 28987452 38649936 57974904 77299872 115949808 231899616