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23046100 = 22527114173
BaseRepresentation
bin101011111101…
…0011111010100
31121100212022021
41113322133110
521344433400
62141542524
7366613540
oct127723724
947325267
1023046100
1112010970
127874a44
134a0ba5c
1430bca20
15205371a
hex15fa7d4

23046100 has 144 divisors (see below), whose sum is σ = 64745856. Its totient is φ = 6912000.

The previous prime is 23046091. The next prime is 23046109. The reversal of 23046100 is 164032.

It is an interprime number because it is at equal distance from previous prime (23046091) and next prime (23046109).

It is a super-2 number, since 2×230461002 = 1062245450420000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23046109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 315664 + ... + 315736.

It is an arithmetic number, because the mean of its divisors is an integer number (449624).

Almost surely, 223046100 is an apocalyptic number.

23046100 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 23046100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32372928).

23046100 is an abundant number, since it is smaller than the sum of its proper divisors (41699756).

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

23046100 is a wasteful number, since it uses less digits than its factorization.

23046100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 23046100 is about 4800.6353746145. The cubic root of 23046100 is about 284.5765744687.

The spelling of 23046100 in words is "twenty-three million, forty-six thousand, one hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 41 44 50 55 70 73 77 82 100 110 140 146 154 164 175 205 220 275 287 292 308 350 365 385 410 451 511 550 574 700 730 770 803 820 902 1022 1025 1100 1148 1435 1460 1540 1606 1804 1825 1925 2044 2050 2255 2555 2870 2993 3157 3212 3650 3850 4015 4100 4510 5110 5621 5740 5986 6314 7175 7300 7700 8030 9020 10220 11242 11275 11972 12628 12775 14350 14965 15785 16060 20075 20951 22484 22550 25550 28105 28700 29930 31570 32923 40150 41902 45100 51100 56210 59860 63140 65846 74825 78925 80300 83804 104755 112420 131692 140525 149650 157850 164615 209510 230461 281050 299300 315700 329230 419020 460922 523775 562100 658460 823075 921844 1047550 1152305 1646150 2095100 2304610 3292300 4609220 5761525 11523050 23046100