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231553000 = 23537191741
BaseRepresentation
bin11011100110100…
…11011111101000
3121010201010000001
431303103133220
5433234144000
634550552344
75511111430
oct1563233750
9533633001
10231553000
11109784218
12656686b4
1338c84113
1422a772c0
15154dd46a
hexdcd37e8

231553000 has 128 divisors (see below), whose sum is σ = 652204800. Its totient is φ = 75168000.

The previous prime is 231552989. The next prime is 231553031. The reversal of 231553000 is 355132.

It is a Harshad number since it is a multiple of its sum of digits (19).

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 31 ways as a sum of consecutive naturals, for example, 132130 + ... + 133870.

It is an arithmetic number, because the mean of its divisors is an integer number (5095350).

Almost surely, 2231553000 is an apocalyptic number.

231553000 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 231553000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326102400).

231553000 is an abundant number, since it is smaller than the sum of its proper divisors (420651800).

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

231553000 is a wasteful number, since it uses less digits than its factorization.

231553000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1788 (or 1774 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 19.

The square root of 231553000 is about 15216.8656430948. The cubic root of 231553000 is about 614.0684776162.

The spelling of 231553000 in words is "two hundred thirty-one million, five hundred fifty-three thousand".

Divisors: 1 2 4 5 7 8 10 14 19 20 25 28 35 38 40 50 56 70 76 95 100 125 133 140 152 175 190 200 250 266 280 350 380 475 500 532 665 700 760 875 950 1000 1064 1330 1400 1741 1750 1900 2375 2660 3325 3482 3500 3800 4750 5320 6650 6964 7000 8705 9500 12187 13300 13928 16625 17410 19000 24374 26600 33079 33250 34820 43525 48748 60935 66158 66500 69640 87050 97496 121870 132316 133000 165395 174100 217625 231553 243740 264632 304675 330790 348200 435250 463106 487480 609350 661580 826975 870500 926212 1157765 1218700 1323160 1523375 1653950 1741000 1852424 2315530 2437400 3046750 3307900 4134875 4631060 5788825 6093500 6615800 8269750 9262120 11577650 12187000 16539500 23155300 28944125 33079000 46310600 57888250 115776500 231553000