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229437168016 = 2472171072
BaseRepresentation
bin1101010110101110000…
…1010101100110010000
3210221012212111202112111
43111223201111212100
512224341403334031
6253222454435104
722401444515200
oct3255341254620
9727185452474
10229437168016
1189338333231
1238572062a94
1318835c001a4
14b16789a400
155e7c9731b1
hex356b855990

229437168016 has 45 divisors (see below), whose sum is σ = 517141806219. Its totient is φ = 98324466912.

The previous prime is 229437168011. The next prime is 229437168019. The reversal of 229437168016 is 610861734922.

It is a happy number.

The square root of 229437168016 is 478996.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (229437168011) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 13403335 + ... + 13420441.

Almost surely, 2229437168016 is an apocalyptic number.

229437168016 is the 478996-th square number.

It is an amenable number.

229437168016 is an abundant number, since it is smaller than the sum of its proper divisors (287704638203).

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

229437168016 is an frugal number, since it uses more digits than its factorization.

229437168016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34236 (or 17116 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 49.

Multiplying 229437168016 by its sum of digits (49), we get a square (11242421232784 = 33529722).

229437168016 divided by its sum of digits (49) gives a square (4682391184 = 684282).

The spelling of 229437168016 in words is "two hundred twenty-nine billion, four hundred thirty-seven million, one hundred sixty-eight thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 17107 34214 68428 119749 136856 239498 273712 478996 838243 957992 1676486 1915984 3352972 6705944 13411888 292649449 585298898 1170597796 2048546143 2341195592 4097092286 4682391184 8194184572 14339823001 16388369144 28679646002 32776738288 57359292004 114718584008 229437168016