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220612103040 = 2735716414591
BaseRepresentation
bin1100110101110110000…
…0011000101110000000
3210002102211121000021010
43031131200120232000
512103303144244130
6245203043000520
721636654635610
oct3153540305600
9702384530233
10220612103040
11856198652aa
123690a669140
1317a5a76c554
14a96b7c0a40
155b12cee0b0
hex335d818b80

220612103040 has 128 divisors (see below), whose sum is σ = 803658424320. Its totient is φ = 50425620480.

The previous prime is 220612103039. The next prime is 220612103057. The reversal of 220612103040 is 40301216022.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 220612102998 and 220612103016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8193856 + ... + 8220735.

It is an arithmetic number, because the mean of its divisors is an integer number (6278581440).

Almost surely, 2220612103040 is an apocalyptic number.

220612103040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220612103040 is an abundant number, since it is smaller than the sum of its proper divisors (583046321280).

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

220612103040 is a wasteful number, since it uses less digits than its factorization.

220612103040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16414620 (or 16414608 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 220612103040 its reverse (40301216022), we get a palindrome (260913319062).

The spelling of 220612103040 in words is "two hundred twenty billion, six hundred twelve million, one hundred three thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 280 320 336 384 420 448 480 560 640 672 840 896 960 1120 1344 1680 1920 2240 2688 3360 4480 6720 13440 16414591 32829182 49243773 65658364 82072955 98487546 114902137 131316728 164145910 196975092 229804274 246218865 262633456 328291820 344706411 393950184 459608548 492437730 525266912 574510685 656583640 689412822 787900368 919217096 984875460 1050533824 1149021370 1313167280 1378825644 1575800736 1723532055 1838434192 1969750920 2101067648 2298042740 2626334560 2757651288 3151601472 3447064110 3676868384 3939501840 4596085480 5252669120 5515302576 6303202944 6894128220 7353736768 7879003680 9192170960 10505338240 11030605152 13788256440 14707473536 15758007360 18384341920 22061210304 27576512880 31516014720 36768683840 44122420608 55153025760 73537367680 110306051520 220612103040