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20225746020 = 22353122374861
BaseRepresentation
bin10010110101100011…
…000110010001100100
31221012120022100120110
4102311203012101210
5312410242333040
613142551533020
71314133001364
oct226543062144
957176270513
1020225746020
1186399a7387
123b0568a170
131ba43a786c
14d9c28a9a4
157d59ad980
hex4b58c6464

20225746020 has 96 divisors (see below), whose sum is σ = 58497094656. Its totient is φ = 5216140800.

The previous prime is 20225746019. The next prime is 20225746033. The reversal of 20225746020 is 2064752202.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 4158390 + ... + 4163250.

It is an arithmetic number, because the mean of its divisors is an integer number (609344736).

Almost surely, 220225746020 is an apocalyptic number.

20225746020 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 20225746020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29248547328).

20225746020 is an abundant number, since it is smaller than the sum of its proper divisors (38271348636).

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

20225746020 is a wasteful number, since it uses less digits than its factorization.

20225746020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7141 (or 7139 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The spelling of 20225746020 in words is "twenty billion, two hundred twenty-five million, seven hundred forty-six thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 620 930 1860 2237 4474 4861 6711 8948 9722 11185 13422 14583 19444 22370 24305 26844 29166 33555 44740 48610 58332 67110 69347 72915 97220 134220 138694 145830 150691 208041 277388 291660 301382 346735 416082 452073 602764 693470 753455 832164 904146 1040205 1386940 1506910 1808292 2080410 2260365 3013820 4160820 4520730 9041460 10874057 21748114 32622171 43496228 54370285 65244342 108740570 130488684 163110855 217481140 326221710 337095767 652443420 674191534 1011287301 1348383068 1685478835 2022574602 3370957670 4045149204 5056436505 6741915340 10112873010 20225746020