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2745223920 = 243351774761
BaseRepresentation
bin1010001110100000…
…1100101011110000
321002022121211021000
42203220030223300
521110234131140
61132223402000
7125013006165
oct24350145360
97068554230
102745223920
1111896753aa
12647453300
1334998bc6a
141c084606c
15111019a30
hexa3a0caf0

2745223920 has 160 divisors (see below), whose sum is σ = 10012127040. Its totient is φ = 688988160.

The previous prime is 2745223919. The next prime is 2745223927. The reversal of 2745223920 is 293225472.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2745223927) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 661 + ... + 74100.

It is an arithmetic number, because the mean of its divisors is an integer number (62575794).

Almost surely, 22745223920 is an apocalyptic number.

2745223920 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 2745223920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5006063520).

2745223920 is an abundant number, since it is smaller than the sum of its proper divisors (7266903120).

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

2745223920 is a wasteful number, since it uses less digits than its factorization.

2745223920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74800 (or 74788 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 2745223920 is about 52394.8844831249. The cubic root of 2745223920 is about 1400.2081187202.

The spelling of 2745223920 in words is "two billion, seven hundred forty-five million, two hundred twenty-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 27 30 34 36 40 45 48 51 54 60 68 72 80 85 90 102 108 120 135 136 144 153 170 180 204 216 240 255 270 272 306 340 360 408 432 459 510 540 612 680 720 765 816 918 1020 1080 1224 1360 1530 1836 2040 2160 2295 2448 3060 3672 4080 4590 6120 7344 9180 12240 18360 36720 74761 149522 224283 299044 373805 448566 598088 672849 747610 897132 1121415 1196176 1270937 1345698 1495220 1794264 2018547 2242830 2541874 2691396 2990440 3364245 3588528 3812811 4037094 4485660 5083748 5382792 5980880 6354685 6728490 7625622 8074188 8971320 10092735 10167496 10765584 11438433 12709370 13456980 15251244 16148376 17942640 19064055 20185470 20334992 22876866 25418740 26913960 30502488 32296752 34315299 38128110 40370940 45753732 50837480 53827920 57192165 61004976 68630598 76256220 80741880 91507464 101674960 114384330 137261196 152512440 161483760 171576495 183014928 228768660 274522392 305024880 343152990 457537320 549044784 686305980 915074640 1372611960 2745223920