Search a number
-
+
231452100 = 223352117793
BaseRepresentation
bin11011100101110…
…10110111000100
3121010111222121000
431302322313010
5433222431400
634544453300
75510211315
oct1562726704
9533458530
10231452100
11109715430
126561a230
1338c4a209
1422a4c60c
15154bd600
hexdcbadc4

231452100 has 144 divisors (see below), whose sum is σ = 811823040. Its totient is φ = 56102400.

The previous prime is 231452099. The next prime is 231452149. The reversal of 231452100 is 1254132.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25804 + ... + 33596.

It is an arithmetic number, because the mean of its divisors is an integer number (5637660).

Almost surely, 2231452100 is an apocalyptic number.

231452100 is a gapful number since it is divisible by the number (20) 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 231452100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405911520).

231452100 is an abundant number, since it is smaller than the sum of its proper divisors (580370940).

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

231452100 is a wasteful number, since it uses less digits than its factorization.

231452100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7827 (or 7814 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 231452100 is about 15213.5498816023. The cubic root of 231452100 is about 613.9792705214.

The spelling of 231452100 in words is "two hundred thirty-one million, four hundred fifty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 25 27 30 33 36 44 45 50 54 55 60 66 75 90 99 100 108 110 132 135 150 165 180 198 220 225 270 275 297 300 330 396 450 495 540 550 594 660 675 825 900 990 1100 1188 1350 1485 1650 1980 2475 2700 2970 3300 4950 5940 7425 7793 9900 14850 15586 23379 29700 31172 38965 46758 70137 77930 85723 93516 116895 140274 155860 171446 194825 210411 233790 257169 280548 342892 350685 389650 420822 428615 467580 514338 584475 701370 771507 779300 841644 857230 1028676 1052055 1168950 1285845 1402740 1543014 1714460 1753425 2104110 2143075 2314521 2337900 2571690 3086028 3506850 3857535 4208220 4286150 4629042 5143380 5260275 6429225 7013700 7715070 8572300 9258084 10520550 11572605 12858450 15430140 19287675 21041100 23145210 25716900 38575350 46290420 57863025 77150700 115726050 231452100