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245311000 = 23531129769
BaseRepresentation
bin11101001111100…
…10011000011000
3122002121002102121
432213302120120
51000244423000
640201511024
76036052264
oct1647623030
9562532377
10245311000
11116520870
126a1a2474
133ba9034c
14248190a4
1516809b1a
hexe9f2618

245311000 has 128 divisors (see below), whose sum is σ = 648648000. Its totient is φ = 86016000.

The previous prime is 245310991. The next prime is 245311007. The reversal of 245311000 is 113542.

245311000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245311007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 318616 + ... + 319384.

Almost surely, 2245311000 is an apocalyptic number.

245311000 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 245311000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324324000).

245311000 is an abundant number, since it is smaller than the sum of its proper divisors (403337000).

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

245311000 is a wasteful number, since it uses less digits than its factorization.

245311000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 830 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 245311000 is about 15662.4072223908. The cubic root of 245311000 is about 625.9971283301.

Adding to 245311000 its reverse (113542), we get a palindrome (245424542).

The spelling of 245311000 in words is "two hundred forty-five million, three hundred eleven thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 29 40 44 50 55 58 88 100 110 116 125 145 200 220 232 250 275 290 319 440 500 550 580 638 725 769 1000 1100 1160 1276 1375 1450 1538 1595 2200 2552 2750 2900 3076 3190 3625 3845 5500 5800 6152 6380 7250 7690 7975 8459 11000 12760 14500 15380 15950 16918 19225 22301 29000 30760 31900 33836 38450 39875 42295 44602 63800 67672 76900 79750 84590 89204 96125 111505 153800 159500 169180 178408 192250 211475 223010 245311 319000 338360 384500 422950 446020 490622 557525 769000 845900 892040 981244 1057375 1115050 1226555 1691800 1962488 2114750 2230100 2453110 2787625 4229500 4460200 4906220 5575250 6132775 8459000 9812440 11150500 12265550 22301000 24531100 30663875 49062200 61327750 122655500 245311000