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229980972 = 22313412877
BaseRepresentation
bin11011011010100…
…11101100101100
3121000202020120210
431231103230230
5432333342342
634453142420
75461543314
oct1555235454
9530666523
10229980972
11108900121
126502aa10
1338853720
1422788444
15152cc79c
hexdb53b2c

229980972 has 72 divisors (see below), whose sum is σ = 593015248. Its totient is φ = 68958720.

The previous prime is 229980911. The next prime is 229980973. The reversal of 229980972 is 279089922.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (229980973) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 261798 + ... + 262674.

Almost surely, 2229980972 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 229980972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296507624).

229980972 is an abundant number, since it is smaller than the sum of its proper divisors (363034276).

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

229980972 is a wasteful number, since it uses less digits than its factorization.

229980972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 979 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 48.

The square root of 229980972 is about 15165.1235405453. The cubic root of 229980972 is about 612.6756709494.

The spelling of 229980972 in words is "two hundred twenty-nine million, nine hundred eighty thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 12 13 26 39 41 52 78 82 123 156 164 246 492 533 877 1066 1599 1681 1754 2132 2631 3198 3362 3508 5043 5262 6396 6724 10086 10524 11401 20172 21853 22802 34203 35957 43706 45604 65559 68406 71914 87412 107871 131118 136812 143828 215742 262236 431484 467441 934882 1402323 1474237 1869764 2804646 2948474 4422711 5609292 5896948 8845422 17690844 19165081 38330162 57495243 76660324 114990486 229980972