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23002000 = 245373153
BaseRepresentation
bin101011110111…
…1101110010000
31121021121210221
41113233232100
521342031000
62141002424
7366341140
oct127575620
947247727
1023002000
1111a9081a
127853414
1349c4968
1430aa920
15204561a
hex15efb90

23002000 has 160 divisors (see below), whose sum is σ = 66852864. Its totient is φ = 7488000.

The previous prime is 23001997. The next prime is 23002009. The reversal of 23002000 is 20032.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is not an unprimeable number, because it can be changed into a prime (23002009) 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, 433974 + ... + 434026.

Almost surely, 223002000 is an apocalyptic number.

23002000 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 23002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33426432).

23002000 is an abundant number, since it is smaller than the sum of its proper divisors (43850864).

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

23002000 is a wasteful number, since it uses less digits than its factorization.

23002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 7.

The square root of 23002000 is about 4796.0400331941. The cubic root of 23002000 is about 284.3949408389.

Adding to 23002000 its reverse (20032), we get a palindrome (23022032).

The spelling of 23002000 in words is "twenty-three million, two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 31 35 40 50 53 56 62 70 80 100 106 112 124 125 140 155 175 200 212 217 248 250 265 280 310 350 371 400 424 434 496 500 530 560 620 700 742 775 848 868 875 1000 1060 1085 1240 1325 1400 1484 1550 1643 1736 1750 1855 2000 2120 2170 2480 2650 2800 2968 3100 3286 3472 3500 3710 3875 4240 4340 5300 5425 5936 6200 6572 6625 7000 7420 7750 8215 8680 9275 10600 10850 11501 12400 13144 13250 14000 14840 15500 16430 17360 18550 21200 21700 23002 26288 26500 27125 29680 31000 32860 37100 41075 43400 46004 46375 53000 54250 57505 62000 65720 74200 82150 86800 92008 92750 106000 108500 115010 131440 148400 164300 184016 185500 205375 217000 230020 287525 328600 371000 410750 434000 460040 575050 657200 742000 821500 920080 1150100 1437625 1643000 2300200 2875250 3286000 4600400 5750500 11501000 23002000