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232897000 = 23537497
BaseRepresentation
bin11011110000110…
…11100111101000
3121020020101121211
431320123213220
5434110201000
635035442504
75525410000
oct1570334750
9536211554
10232897000
1110a511a66
1265bb6434
1339334a9b
1422d07000
15156a67ba
hexde1b9e8

232897000 has 160 divisors (see below), whose sum is σ = 642325320. Its totient is φ = 79027200.

The previous prime is 232896971. The next prime is 232897001. The reversal of 232897000 is 798232.

It can be written as a sum of positive squares in 4 ways, for example, as 63011844 + 169885156 = 7938^2 + 13034^2 .

It is not an unprimeable number, because it can be changed into a prime (232897001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2400952 + ... + 2401048.

Almost surely, 2232897000 is an apocalyptic number.

232897000 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 232897000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321162660).

232897000 is an abundant number, since it is smaller than the sum of its proper divisors (409428320).

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

232897000 is an frugal number, since it uses more digits than its factorization.

232897000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 232897000 is about 15260.9632723495. The cubic root of 232897000 is about 615.2542628550.

The spelling of 232897000 in words is "two hundred thirty-two million, eight hundred ninety-seven thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 97 98 100 125 140 175 194 196 200 245 250 280 343 350 388 392 485 490 500 679 686 700 776 875 970 980 1000 1225 1358 1372 1400 1715 1750 1940 1960 2401 2425 2450 2716 2744 3395 3430 3500 3880 4753 4802 4850 4900 5432 6125 6790 6860 7000 8575 9506 9604 9700 9800 12005 12125 12250 13580 13720 16975 17150 19012 19208 19400 23765 24010 24250 24500 27160 33271 33950 34300 38024 42875 47530 48020 48500 49000 60025 66542 67900 68600 84875 85750 95060 96040 97000 118825 120050 133084 135800 166355 169750 171500 190120 232897 237650 240100 266168 300125 332710 339500 343000 465794 475300 480200 594125 600250 665420 679000 831775 931588 950600 1164485 1188250 1200500 1330840 1663550 1863176 2328970 2376500 2401000 3327100 4158875 4657940 4753000 5822425 6654200 8317750 9315880 11644850 16635500 23289700 29112125 33271000 46579400 58224250 116448500 232897000