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229772004 = 2237111391789
BaseRepresentation
bin11011011001000…
…00101011100100
3121000100121221020
431230200223210
5432310201004
634444451140
75460013140
oct1554405344
9530317836
10229772004
11108778120
1264b49ab0
13387ac587
1422732220
151528a8d9
hexdb20ae4

229772004 has 96 divisors (see below), whose sum is σ = 673612800. Its totient is φ = 59218560.

The previous prime is 229771991. The next prime is 229772027. The reversal of 229772004 is 400277922.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127542 + ... + 129330.

It is an arithmetic number, because the mean of its divisors is an integer number (7016800).

Almost surely, 2229772004 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 229772004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336806400).

229772004 is an abundant number, since it is smaller than the sum of its proper divisors (443840796).

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

229772004 is a wasteful number, since it uses less digits than its factorization.

229772004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1953 (or 1951 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 229772004 is about 15158.2322188308. The cubic root of 229772004 is about 612.4900492067.

The spelling of 229772004 in words is "two hundred twenty-nine million, seven hundred seventy-two thousand, four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 139 154 231 278 308 417 462 556 834 924 973 1529 1668 1789 1946 2919 3058 3578 3892 4587 5367 5838 6116 7156 9174 10703 10734 11676 12523 18348 19679 21406 21468 25046 32109 37569 39358 42812 50092 59037 64218 75138 78716 118074 128436 137753 150276 236148 248671 275506 413259 497342 551012 746013 826518 994684 1492026 1653036 1740697 2735381 2984052 3481394 5222091 5470762 6962788 8206143 10444182 10941524 16412286 19147667 20888364 32824572 38295334 57443001 76590668 114886002 229772004