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229122216 = 23331955829
BaseRepresentation
bin11011010100000…
…10000010101000
3120222010121121000
431222002002220
5432123402331
634422515000
75451335541
oct1552020250
9528117530
10229122216
11108373a04
1264895a60
133861289b
14226034c8
15151ad0e6
hexda820a8

229122216 has 64 divisors (see below), whose sum is σ = 669960000. Its totient is φ = 72353088.

The previous prime is 229122169. The next prime is 229122221. The reversal of 229122216 is 612221922.

It is a happy number.

229122216 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 229122216.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23811 + ... + 32018.

It is an arithmetic number, because the mean of its divisors is an integer number (10468125).

Almost surely, 2229122216 is an apocalyptic number.

It is an amenable number.

229122216 is an abundant number, since it is smaller than the sum of its proper divisors (440837784).

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

229122216 is a wasteful number, since it uses less digits than its factorization.

229122216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55863 (or 55853 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 229122216 is about 15136.7835420871. The cubic root of 229122216 is about 611.9121365596.

The spelling of 229122216 in words is "two hundred twenty-nine million, one hundred twenty-two thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 108 114 152 171 216 228 342 456 513 684 1026 1368 2052 4104 55829 111658 167487 223316 334974 446632 502461 669948 1004922 1060751 1339896 1507383 2009844 2121502 3014766 3182253 4019688 4243004 6029532 6364506 8486008 9546759 12059064 12729012 19093518 25458024 28640277 38187036 57280554 76374072 114561108 229122216