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20225451000 = 2335359311369
BaseRepresentation
bin10010110101100001…
…111110001111111000
31221012112202100212210
4102311201332033320
5312410203413000
613142541335120
71314130332306
oct226541761770
957175670783
1020225451000
118639815767
123b055674a0
131ba43034b1
14d9c211276
157d5951350
hex4b587e3f8

20225451000 has 128 divisors (see below), whose sum is σ = 63215380800. Its totient is φ = 5383884800.

The previous prime is 20225450977. The next prime is 20225451011. The reversal of 20225451000 is 15452202.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1773316 + ... + 1784684.

Almost surely, 220225451000 is an apocalyptic number.

20225451000 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 20225451000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31607690400).

20225451000 is an abundant number, since it is smaller than the sum of its proper divisors (42989929800).

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

20225451000 is a wasteful number, since it uses less digits than its factorization.

20225451000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11986 (or 11972 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The spelling of 20225451000 in words is "twenty billion, two hundred twenty-five million, four hundred fifty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 593 600 750 1000 1186 1500 1779 2372 2965 3000 3558 4744 5930 7116 8895 11369 11860 14232 14825 17790 22738 23720 29650 34107 35580 44475 45476 56845 59300 68214 71160 74125 88950 90952 113690 118600 136428 148250 170535 177900 222375 227380 272856 284225 296500 341070 355800 444750 454760 568450 593000 682140 852675 889500 1136900 1364280 1421125 1705350 1779000 2273800 2842250 3410700 4263375 5684500 6741817 6821400 8526750 11369000 13483634 17053500 20225451 26967268 33709085 34107000 40450902 53934536 67418170 80901804 101127255 134836340 161803608 168545425 202254510 269672680 337090850 404509020 505636275 674181700 809018040 842727125 1011272550 1348363400 1685454250 2022545100 2528181375 3370908500 4045090200 5056362750 6741817000 10112725500 20225451000