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224097977088 = 2832361726891
BaseRepresentation
bin1101000010110101000…
…1111100001100000000
3210102102202212202111100
43100231101330030000
512132423040231323
6250541005214400
722122233242656
oct3205521741400
9712382782440
10224097977088
1187048514047
1237521b61400
1318194a0130b
14abbc742dd6
155c68d6a943
hex342d47c300

224097977088 has 108 divisors (see below), whose sum is σ = 646332385608. Its totient is φ = 74675896320.

The previous prime is 224097977057. The next prime is 224097977101. The reversal of 224097977088 is 880779790422.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8320123 + ... + 8347013.

It is an arithmetic number, because the mean of its divisors is an integer number (5984559126).

Almost surely, 2224097977088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224097977088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323166192804).

224097977088 is an abundant number, since it is smaller than the sum of its proper divisors (422234408520).

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

224097977088 is a wasteful number, since it uses less digits than its factorization.

224097977088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30530 (or 30513 counting only the distinct ones).

The product of its (nonzero) digits is 28449792, while the sum is 63.

The spelling of 224097977088 in words is "two hundred twenty-four billion, ninety-seven million, nine hundred seventy-seven thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 3617 7234 10851 14468 21702 26891 28936 32553 43404 53782 57872 65106 80673 86808 107564 115744 130212 161346 173616 215128 231488 242019 260424 322692 347232 430256 462976 484038 520848 645384 694464 860512 925952 968076 1041696 1290768 1388928 1721024 1936152 2083392 2581536 2777856 3442048 3872304 4166784 5163072 6884096 7744608 8333568 10326144 15489216 20652288 30978432 61956864 97264747 194529494 291794241 389058988 583588482 778117976 875382723 1167176964 1556235952 1750765446 2334353928 3112471904 3501530892 4668707856 6224943808 7003061784 9337415712 12449887616 14006123568 18674831424 24899775232 28012247136 37349662848 56024494272 74699325696 112048988544 224097977088