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6230997600 = 253528872927
BaseRepresentation
bin1011100110110010…
…10111101001100000
3121002020201110210220
411303121113221200
5100230113410400
62510143523040
7310260414522
oct56331275140
917066643726
106230997600
1127082657a3
12125a8b9480
13783bb7139
1443177da12
152670667a0
hex173657a60

6230997600 has 144 divisors (see below), whose sum is σ = 20311699968. Its totient is φ = 1659159040.

The previous prime is 6230997589. The next prime is 6230997653. The reversal of 6230997600 is 67990326.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 2127337 + ... + 2130263.

It is an arithmetic number, because the mean of its divisors is an integer number (141053472).

Almost surely, 26230997600 is an apocalyptic number.

6230997600 is a gapful number since it is divisible by the number (60) 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 6230997600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10155849984).

6230997600 is an abundant number, since it is smaller than the sum of its proper divisors (14080702368).

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

6230997600 is a wasteful number, since it uses less digits than its factorization.

6230997600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3837 (or 3824 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 42.

The square root of 6230997600 is about 78936.6682854046. The cubic root of 6230997600 is about 1840.1470424392.

The spelling of 6230997600 in words is "six billion, two hundred thirty million, nine hundred ninety-seven thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 600 800 887 1200 1774 2400 2661 2927 3548 4435 5322 5854 7096 8781 8870 10644 11708 13305 14192 14635 17562 17740 21288 22175 23416 26610 28384 29270 35124 35480 42576 43905 44350 46832 53220 58540 66525 70248 70960 73175 85152 87810 88700 93664 106440 117080 133050 140496 141920 146350 175620 177400 212880 219525 234160 266100 280992 292700 351240 354800 425760 439050 468320 532200 585400 702480 709600 878100 1064400 1170800 1404960 1756200 2128800 2341600 2596249 3512400 5192498 7024800 7788747 10384996 12981245 15577494 20769992 25962490 31154988 38943735 41539984 51924980 62309976 64906225 77887470 83079968 103849960 124619952 129812450 155774940 194718675 207699920 249239904 259624900 311549880 389437350 415399840 519249800 623099760 778874700 1038499600 1246199520 1557749400 2076999200 3115498800 6230997600