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229085348136480 = 253251114462458847
BaseRepresentation
bin110100000101101000010110…
…110011001000011000100000
31010001010100022210110221121100
4310011220112303020120200
5220011313243110331410
62131120204524554400
766152604325320153
oct6405502663103040
91101110283427540
10229085348136480
1166aa26068646a0
122183a3376b2a00
139aa986a578bb4
14407db0bb07c9a
151b740803938c0
hexd05a16cc8620

229085348136480 has 144 divisors (see below), whose sum is σ = 852822273348864. Its totient is φ = 55535841968640.

The previous prime is 229085348136391. The next prime is 229085348136493. The reversal of 229085348136480 is 84631843580922.

229085348136480 is a `hidden beast` number, since 2 + 2 + 9 + 0 + 8 + 534 + 8 + 13 + 6 + 4 + 80 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7231213584 + ... + 7231245263.

It is an arithmetic number, because the mean of its divisors is an integer number (5922376898256).

Almost surely, 2229085348136480 is an apocalyptic number.

229085348136480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

229085348136480 is an abundant number, since it is smaller than the sum of its proper divisors (623736925212384).

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

229085348136480 is a wasteful number, since it uses less digits than its factorization.

229085348136480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14462458879 (or 14462458868 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 63.

The spelling of 229085348136480 in words is "two hundred twenty-nine trillion, eighty-five billion, three hundred forty-eight million, one hundred thirty-six thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 32 33 36 40 44 45 48 55 60 66 72 80 88 90 96 99 110 120 132 144 160 165 176 180 198 220 240 264 288 330 352 360 396 440 480 495 528 660 720 792 880 990 1056 1320 1440 1584 1760 1980 2640 3168 3960 5280 7920 15840 14462458847 28924917694 43387376541 57849835388 72312294235 86774753082 115699670776 130162129623 144624588470 159087047317 173549506164 216936882705 231399341552 260324259246 289249176940 318174094634 347099012328 433873765410 462798683104 477261141951 520648518492 578498353880 636348189268 650810648115 694198024656 795435236585 867747530820 954522283902 1041297036984 1156996707760 1272696378536 1301621296230 1388396049312 1431783425853 1590870473170 1735495061640 1909044567804 2082594073968 2313993415520 2386305709755 2545392757072 2603242592460 2863566851706 3181740946340 3470990123280 3818089135608 4165188147936 4772611419510 5090785514144 5206485184920 5727133703412 6363481892680 6941980246560 7158917129265 7636178271216 9545222839020 10412970369840 11454267406824 12726963785360 14317834258530 15272356542432 19090445678040 20825940739680 22908534813648 25453927570720 28635668517060 38180891356080 45817069627296 57271337034120 76361782712160 114542674068240 229085348136480