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20284231950 = 2335222766191
BaseRepresentation
bin10010111001000010…
…001101000100001110
31221100122100202012000
4102321002031010032
5313020230410300
613152441253130
71315443061323
oct227102150416
957318322160
1020284231950
118669a13764
123b211941a6
131bb3544618
14da5d52b4a
157dabb2c00
hex4b908d10e

20284231950 has 96 divisors (see below), whose sum is σ = 56141406720. Its totient is φ = 5385218400.

The previous prime is 20284231931. The next prime is 20284232041. The reversal of 20284231950 is 5913248202.

It is a happy number.

20284231950 is a `hidden beast` number, since 20 + 28 + 423 + 195 + 0 = 666.

It is a super-2 number, since 2×202842319502 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 273355 + ... + 339545.

It is an arithmetic number, because the mean of its divisors is an integer number (584806320).

Almost surely, 220284231950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20284231950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28070703360).

20284231950 is an abundant number, since it is smaller than the sum of its proper divisors (35857174770).

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

20284231950 is a wasteful number, since it uses less digits than its factorization.

20284231950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66439 (or 66428 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 20284231950 in words is "twenty billion, two hundred eighty-four million, two hundred thirty-one thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 90 135 150 225 227 270 450 454 675 681 1135 1350 1362 2043 2270 3405 4086 5675 6129 6810 10215 11350 12258 17025 20430 30645 34050 51075 61290 66191 102150 132382 153225 198573 306450 330955 397146 595719 661910 992865 1191438 1654775 1787157 1985730 2978595 3309550 3574314 4964325 5957190 8935785 9928650 14892975 15025357 17871570 29785950 30050714 44678925 45076071 75126785 89357850 90152142 135228213 150253570 225380355 270456426 375633925 405684639 450760710 676141065 751267850 811369278 1126901775 1352282130 2028423195 2253803550 3380705325 4056846390 6761410650 10142115975 20284231950