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20218867920 = 2433541228307
BaseRepresentation
bin10010110101001000…
…110111000011010000
31221012002100220121000
4102311020313003100
5312402012233140
613142144302000
71314020353536
oct226510670320
957162326530
1020218867920
1186360297a9
123b03311900
131ba2b39c94
14d9b3ba156
157d50a0a30
hex4b52370d0

20218867920 has 160 divisors (see below), whose sum is σ = 71341683840. Its totient is φ = 5260170240.

The previous prime is 20218867901. The next prime is 20218867951. The reversal of 20218867920 is 2976881202.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 25594 + ... + 202713.

It is an arithmetic number, because the mean of its divisors is an integer number (445885524).

Almost surely, 220218867920 is an apocalyptic number.

20218867920 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 20218867920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35670841920).

20218867920 is an abundant number, since it is smaller than the sum of its proper divisors (51122815920).

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

20218867920 is a wasteful number, since it uses less digits than its factorization.

20218867920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228370 (or 228358 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 20218867920 in words is "twenty billion, two hundred eighteen million, eight hundred sixty-seven thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 41 45 48 54 60 72 80 82 90 108 120 123 135 144 164 180 205 216 240 246 270 328 360 369 410 432 492 540 615 656 720 738 820 984 1080 1107 1230 1476 1640 1845 1968 2160 2214 2460 2952 3280 3690 4428 4920 5535 5904 7380 8856 9840 11070 14760 17712 22140 29520 44280 88560 228307 456614 684921 913228 1141535 1369842 1826456 2054763 2283070 2739684 3424605 3652912 4109526 4566140 5479368 6164289 6849210 8219052 9132280 9360587 10273815 10958736 12328578 13698420 16438104 18264560 18721174 20547630 24657156 27396840 28081761 30821445 32876208 37442348 41095260 46802935 49314312 54793680 56163522 61642890 74884696 82190520 84245283 93605870 98628624 112327044 123285780 140408805 149769392 164381040 168490566 187211740 224654088 246571560 252735849 280817610 336981132 374423480 421226415 449308176 493143120 505471698 561635220 673962264 748846960 842452830 1010943396 1123270440 1263679245 1347924528 1684905660 2021886792 2246540880 2527358490 3369811320 4043773584 5054716980 6739622640 10109433960 20218867920