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20122723000 = 2353232930169
BaseRepresentation
bin10010101111011010…
…000110001010111000
31220221101110020120001
4102233122012022320
5312202404114000
613124431442344
71311442215622
oct225732061270
956841406501
1020122723000
118596830696
123a970863b4
131b88c460b3
14d8c70dc12
157cb90d46a
hex4af6862b8

20122723000 has 128 divisors (see below), whose sum is σ = 50830416000. Its totient is φ = 7433395200.

The previous prime is 20122722923. The next prime is 20122723001. The reversal of 20122723000 is 32722102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20122723001) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 651916 + ... + 682084.

It is an arithmetic number, because the mean of its divisors is an integer number (397112625).

Almost surely, 220122723000 is an apocalyptic number.

20122723000 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 20122723000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25415208000).

20122723000 is an abundant number, since it is smaller than the sum of its proper divisors (30707693000).

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

20122723000 is a wasteful number, since it uses less digits than its factorization.

20122723000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30242 (or 30228 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The spelling of 20122723000 in words is "twenty billion, one hundred twenty-two million, seven hundred twenty-three thousand".

Divisors: 1 2 4 5 8 10 20 23 25 29 40 46 50 58 92 100 115 116 125 145 184 200 230 232 250 290 460 500 575 580 667 725 920 1000 1150 1160 1334 1450 2300 2668 2875 2900 3335 3625 4600 5336 5750 5800 6670 7250 11500 13340 14500 16675 23000 26680 29000 30169 33350 60338 66700 83375 120676 133400 150845 166750 241352 301690 333500 603380 667000 693887 754225 874901 1206760 1387774 1508450 1749802 2775548 3016900 3469435 3499604 3771125 4374505 5551096 6033800 6938870 6999208 7542250 8749010 13877740 15084500 17347175 17498020 20122723 21872525 27755480 30169000 34694350 34996040 40245446 43745050 69388700 80490892 86735875 87490100 100613615 109362625 138777400 160981784 173471750 174980200 201227230 218725250 346943500 402454460 437450500 503068075 693887000 804908920 874901000 1006136150 2012272300 2515340375 4024544600 5030680750 10061361500 20122723000