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229972092 = 22372421929
BaseRepresentation
bin11011011010100…
…01100001111100
3121000201210101220
431231101201330
5432333101332
634453033340
75461505400
oct1555214174
9530653356
10229972092
111088a4489
1265025850
133884c67c
1422785100
15152c9d2c
hexdb5187c

229972092 has 72 divisors (see below), whose sum is σ = 626366160. Its totient is φ = 65479680.

The previous prime is 229972069. The next prime is 229972121. The reversal of 229972092 is 290279922.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 247084 + ... + 248012.

It is an arithmetic number, because the mean of its divisors is an integer number (8699530).

Almost surely, 2229972092 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 229972092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313183080).

229972092 is an abundant number, since it is smaller than the sum of its proper divisors (396394068).

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

229972092 is a wasteful number, since it uses less digits than its factorization.

229972092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1371 (or 1362 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The square root of 229972092 is about 15164.8307606778. The cubic root of 229972092 is about 612.6677853260.

The spelling of 229972092 in words is "two hundred twenty-nine million, nine hundred seventy-two thousand, ninety-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 421 588 842 929 1263 1684 1858 2526 2787 2947 3716 5052 5574 5894 6503 8841 11148 11788 13006 17682 19509 20629 26012 35364 39018 41258 45521 61887 78036 82516 91042 123774 136563 182084 247548 273126 391109 546252 782218 1173327 1564436 2346654 2737763 4693308 5475526 8213289 10951052 16426578 19164341 32853156 38328682 57493023 76657364 114986046 229972092