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226941000880 = 2451117101914887
BaseRepresentation
bin1101001101011010111…
…1001101110010110000
3210200202220112022221211
43103112233031302300
512204233344012010
6252131045125504
722252544452036
oct3232657156260
9720686468854
10226941000880
1188277307990
1237b960b9894
1318528a13509
14adac166556
155d8375308a
hex34d6bcdcb0

226941000880 has 160 divisors (see below), whose sum is σ = 610103093760. Its totient is φ = 77588213760.

The previous prime is 226941000827. The next prime is 226941000901. The reversal of 226941000880 is 88000149622.

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 15236797 + ... + 15251683.

It is an arithmetic number, because the mean of its divisors is an integer number (3813144336).

Almost surely, 2226941000880 is an apocalyptic number.

226941000880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

226941000880 is the 238192-nd decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226941000880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305051546880).

226941000880 is an abundant number, since it is smaller than the sum of its proper divisors (383162092880).

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

226941000880 is a wasteful number, since it uses less digits than its factorization.

226941000880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15947 (or 15941 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 40.

The spelling of 226941000880 in words is "two hundred twenty-six billion, nine hundred forty-one million, eight hundred eighty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 11 16 17 20 22 34 40 44 55 68 80 85 88 110 136 170 176 187 220 272 340 374 440 680 748 880 935 1019 1360 1496 1870 2038 2992 3740 4076 5095 7480 8152 10190 11209 14887 14960 16304 17323 20380 22418 29774 34646 40760 44836 56045 59548 69292 74435 81520 86615 89672 112090 119096 138584 148870 163757 173230 179344 190553 224180 238192 253079 277168 297740 327514 346460 381106 448360 506158 595480 655028 692920 762212 818785 896720 952765 1012316 1190960 1265395 1310056 1385840 1524424 1637570 1905530 2024632 2530790 2620112 2783869 3048848 3275140 3811060 4049264 5061580 5567738 6550280 7622120 10123160 11135476 13100560 13919345 15169853 15244240 20246320 22270952 27838690 30339706 44541904 55677380 60679412 75849265 111354760 121358824 151698530 166868383 222709520 242717648 257887501 303397060 333736766 515775002 606794120 667473532 834341915 1031550004 1213588240 1289437505 1334947064 1668683830 2063100008 2578875010 2669894128 2836762511 3337367660 4126200016 5157750020 5673525022 6674735320 10315500040 11347050044 13349470640 14183812555 20631000080 22694100088 28367625110 45388200176 56735250220 113470500440 226941000880