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229913472 = 2734712739
BaseRepresentation
bin11011011010000…
…11001110000000
3121000121210222210
431231003032000
5432324212342
634451502120
75461142445
oct1555031600
9530553883
10229913472
11108864438
1264bb7940
133882ba99
142276b9cc
15152b779c
hexdb43380

229913472 has 64 divisors (see below), whose sum is σ = 623750400. Its totient is φ = 75001344.

The previous prime is 229913461. The next prime is 229913477. The reversal of 229913472 is 274319922.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 229913472.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229913477) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11679 + ... + 24417.

It is an arithmetic number, because the mean of its divisors is an integer number (9746100).

Almost surely, 2229913472 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 229913472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311875200).

229913472 is an abundant number, since it is smaller than the sum of its proper divisors (393836928).

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

229913472 is a wasteful number, since it uses less digits than its factorization.

229913472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12803 (or 12791 counting only the distinct ones).

The product of its digits is 54432, while the sum is 39.

The square root of 229913472 is about 15162.8978760658. The cubic root of 229913472 is about 612.6157244618.

The spelling of 229913472 in words is "two hundred twenty-nine million, nine hundred thirteen thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 128 141 188 192 282 376 384 564 752 1128 1504 2256 3008 4512 6016 9024 12739 18048 25478 38217 50956 76434 101912 152868 203824 305736 407648 598733 611472 815296 1197466 1222944 1630592 1796199 2394932 2445888 3592398 4789864 4891776 7184796 9579728 14369592 19159456 28739184 38318912 57478368 76637824 114956736 229913472