Search a number
-
+
2235000 = 23354149
BaseRepresentation
bin1000100001101001111000
311012112211210
420201221320
51033010000
6115523120
724666015
oct10415170
94175753
102235000
111297209
128b94a0
136033b1
1442270c
152e2350
hex221a78

2235000 has 80 divisors (see below), whose sum is σ = 7029000. Its totient is φ = 592000.

The previous prime is 2234993. The next prime is 2235031. The reversal of 2235000 is 5322.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14926 + ... + 15074.

22235000 is an apocalyptic number.

2235000 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 2235000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3514500).

2235000 is an abundant number, since it is smaller than the sum of its proper divisors (4794000).

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

2235000 is a wasteful number, since it uses less digits than its factorization.

2235000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 12.

The square root of 2235000 is about 1494.9916387726. The cubic root of 2235000 is about 130.7452267182.

The spelling of 2235000 in words is "two million, two hundred thirty-five thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 149 150 200 250 298 300 375 447 500 596 600 625 745 750 894 1000 1192 1250 1490 1500 1788 1875 2235 2500 2980 3000 3576 3725 3750 4470 5000 5960 7450 7500 8940 11175 14900 15000 17880 18625 22350 29800 37250 44700 55875 74500 89400 93125 111750 149000 186250 223500 279375 372500 447000 558750 745000 1117500 2235000