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1221799680 = 2833535353
BaseRepresentation
bin100100011010011…
…0010111100000000
310011011000212002000
41020310302330000
510000240042210
6321123224000
742164061123
oct11064627400
93134025060
101221799680
11577746202
122a1218000
13166187aba
14b83a63ba
15723e4ac0
hex48d32f00

1221799680 has 144 divisors (see below), whose sum is σ = 4335814560. Its totient is φ = 325804032.

The previous prime is 1221799679. The next prime is 1221799729. The reversal of 1221799680 is 869971221.

It is a tau number, because it is divible by the number of its divisors (144).

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 15 ways as a sum of consecutive naturals, for example, 16884 + ... + 52236.

Almost surely, 21221799680 is an apocalyptic number.

1221799680 is a gapful number since it is divisible by the number (10) 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 1221799680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2167907280).

1221799680 is an abundant number, since it is smaller than the sum of its proper divisors (3114014880).

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

1221799680 is an equidigital number, since it uses as much as digits as its factorization.

1221799680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35383 (or 35363 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 1221799680 is about 34954.2512435898. The cubic root of 1221799680 is about 1069.0548850078.

The spelling of 1221799680 in words is "one billion, two hundred twenty-one million, seven hundred ninety-nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 256 270 288 320 360 384 432 480 540 576 640 720 768 864 960 1080 1152 1280 1440 1728 1920 2160 2304 2880 3456 3840 4320 5760 6912 8640 11520 17280 34560 35353 70706 106059 141412 176765 212118 282824 318177 353530 424236 530295 565648 636354 707060 848472 954531 1060590 1131296 1272708 1414120 1590885 1696944 1909062 2121180 2262592 2545416 2828240 3181770 3393888 3818124 4242360 4525184 4772655 5090832 5656480 6363540 6787776 7636248 8484720 9050368 9545310 10181664 11312960 12727080 13575552 15272496 16969440 19090620 20363328 22625920 25454160 27151104 30544992 33938880 38181240 40726656 45251840 50908320 61089984 67877760 76362480 81453312 101816640 122179968 135755520 152724960 203633280 244359936 305449920 407266560 610899840 1221799680