Search a number
-
+
2097990000 = 24325423311
BaseRepresentation
bin111110100001100…
…1100100101110000
312102012201221020100
41331003030211300
513244041140000
6544103112400
7102663422631
oct17503144560
95365657210
102097990000
11987295a37
124a6742700
13275866002
1415c8c5888
15c42bba00
hex7d0cc970

2097990000 has 150 divisors (see below), whose sum is σ = 7337288816. Its totient is φ = 559440000.

The previous prime is 2097989989. The next prime is 2097990023. The reversal of 2097990000 is 997902.

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 78345 + ... + 101655.

Almost surely, 22097990000 is an apocalyptic number.

2097990000 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 2097990000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3668644408).

2097990000 is an abundant number, since it is smaller than the sum of its proper divisors (5239298816).

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

2097990000 is a wasteful number, since it uses less digits than its factorization.

2097990000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23345 (or 23321 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 36.

The square root of 2097990000 is about 45803.8208013262. The cubic root of 2097990000 is about 1280.1704688326.

The spelling of 2097990000 in words is "two billion, ninety-seven million, nine hundred ninety thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 144 150 180 200 225 240 250 300 360 375 400 450 500 600 625 720 750 900 1000 1125 1200 1250 1500 1800 1875 2000 2250 2500 3000 3600 3750 4500 5000 5625 6000 7500 9000 10000 11250 15000 18000 22500 23311 30000 45000 46622 69933 90000 93244 116555 139866 186488 209799 233110 279732 349665 372976 419598 466220 559464 582775 699330 839196 932440 1048995 1118928 1165550 1398660 1678392 1748325 1864880 2097990 2331100 2797320 2913875 3356784 3496650 4195980 4662200 5244975 5594640 5827750 6993300 8391960 8741625 9324400 10489950 11655500 13986600 14569375 16783920 17483250 20979900 23311000 26224875 27973200 29138750 34966500 41959800 43708125 46622000 52449750 58277500 69933000 83919600 87416250 104899500 116555000 131124375 139866000 174832500 209799000 233110000 262248750 349665000 419598000 524497500 699330000 1048995000 2097990000