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229977156480 = 2735711687039
BaseRepresentation
bin1101011000101110110…
…1001110101110000000
3210222121111121000110020
43112023231032232000
512231443123001410
6253352224333440
722421022401451
oct3261355165600
9728544530406
10229977156480
1189595122595
12386a2a74280
13188c0a467a6
14b1b94a1128
155eb0089a70
hex358bb4eb80

229977156480 has 128 divisors (see below), whose sum is σ = 743377305600. Its totient is φ = 60463441920.

The previous prime is 229977156467. The next prime is 229977156509. The reversal of 229977156480 is 84651779922.

229977156480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-3 number, since 3×2299771564803 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 707200 + ... + 979839.

It is an arithmetic number, because the mean of its divisors is an integer number (5807635200).

Almost surely, 2229977156480 is an apocalyptic number.

229977156480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

229977156480 is an abundant number, since it is smaller than the sum of its proper divisors (513400149120).

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

229977156480 is a wasteful number, since it uses less digits than its factorization.

229977156480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1687132 (or 1687120 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 60.

The spelling of 229977156480 in words is "two hundred twenty-nine billion, nine hundred seventy-seven million, one hundred fifty-six thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 71 80 96 120 128 142 160 192 213 240 284 320 355 384 426 480 568 640 710 852 960 1065 1136 1420 1704 1920 2130 2272 2840 3408 4260 4544 5680 6816 8520 9088 11360 13632 17040 22720 27264 34080 45440 68160 136320 1687039 3374078 5061117 6748156 8435195 10122234 13496312 16870390 20244468 25305585 26992624 33740780 40488936 50611170 53985248 67481560 80977872 101222340 107970496 119779769 134963120 161955744 202444680 215940992 239559538 269926240 323911488 359339307 404889360 479119076 539852480 598898845 647822976 718678614 809778720 958238152 1079704960 1197797690 1437357228 1619557440 1796696535 1916476304 2395595380 2874714456 3239114880 3593393070 3832952608 4791190760 5749428912 7186786140 7665905216 9582381520 11498857824 14373572280 15331810432 19164763040 22997715648 28747144560 38329526080 45995431296 57494289120 76659052160 114988578240 229977156480