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229957680 = 24352341659
BaseRepresentation
bin11011011010011…
…10000000110000
3121000201001122010
431231032000300
5432332121210
634452442520
75461415361
oct1555160060
9530631563
10229957680
11108894677
1265019440
1338845c44
142277db68
15152c5920
hexdb4e030

229957680 has 80 divisors (see below), whose sum is σ = 743880960. Its totient is φ = 58654464.

The previous prime is 229957631. The next prime is 229957681. The reversal of 229957680 is 86759922.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (229957681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15310 + ... + 26349.

It is an arithmetic number, because the mean of its divisors is an integer number (9298512).

Almost surely, 2229957680 is an apocalyptic number.

229957680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

229957680 is an abundant number, since it is smaller than the sum of its proper divisors (513923280).

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

229957680 is a wasteful number, since it uses less digits than its factorization.

229957680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41698 (or 41692 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The square root of 229957680 is about 15164.3555748340. The cubic root of 229957680 is about 612.6549867403.

The spelling of 229957680 in words is "two hundred twenty-nine million, nine hundred fifty-seven thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 184 230 240 276 345 368 460 552 690 920 1104 1380 1840 2760 5520 41659 83318 124977 166636 208295 249954 333272 416590 499908 624885 666544 833180 958157 999816 1249770 1666360 1916314 1999632 2499540 2874471 3332720 3832628 4790785 4999080 5748942 7665256 9581570 9998160 11497884 14372355 15330512 19163140 22995768 28744710 38326280 45991536 57489420 76652560 114978840 229957680