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229914972 = 2232719311549
BaseRepresentation
bin11011011010000…
…11100101011100
3121000121220001100
431231003211130
5432324234342
634451513100
75461150020
oct1555034534
9530556040
10229914972
11108865581
1264bb8790
133882c681
142276c380
15152b7e4c
hexdb4395c

229914972 has 144 divisors (see below), whose sum is σ = 722176000. Its totient is φ = 60186240.

The previous prime is 229914961. The next prime is 229914977. The reversal of 229914972 is 279419922.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229914977) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 147654 + ... + 149202.

Almost surely, 2229914972 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 229914972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361088000).

229914972 is an abundant number, since it is smaller than the sum of its proper divisors (492261028).

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

229914972 is a wasteful number, since it uses less digits than its factorization.

229914972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1616 (or 1611 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The square root of 229914972 is about 15162.9473388257. The cubic root of 229914972 is about 612.6170567334.

It can be divided in two parts, 2299 and 14972, that added together give a palindrome (17271).

The spelling of 229914972 in words is "two hundred twenty-nine million, nine hundred fourteen thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 31 36 38 42 57 62 63 76 84 93 114 124 126 133 171 186 217 228 252 266 279 342 372 399 434 532 558 589 651 684 798 868 1116 1178 1197 1302 1549 1596 1767 1953 2356 2394 2604 3098 3534 3906 4123 4647 4788 5301 6196 7068 7812 8246 9294 10602 10843 12369 13941 16492 18588 21204 21686 24738 27882 29431 32529 37107 43372 48019 49476 55764 58862 65058 74214 88293 96038 97587 117724 130116 144057 148428 176586 192076 195174 206017 264879 288114 336133 353172 390348 412034 432171 529758 576228 618051 672266 824068 864342 912361 1008399 1059516 1236102 1344532 1728684 1824722 1854153 2016798 2472204 2737083 3025197 3649444 3708306 4033596 5474166 6050394 6386527 7416612 8211249 10948332 12100788 12773054 16422498 19159581 25546108 32844996 38319162 57478743 76638324 114957486 229914972