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231604224 = 21731931
BaseRepresentation
bin11011100111000…
…00000000000000
3121010210201021020
431303200000000
5433242313344
634552025440
75511413655
oct1563400000
9533721236
10231604224
11109809755
1265692280
1338ca1527
1422a8bc2c
15154ed719
hexdce0000

231604224 has 144 divisors (see below), whose sum is σ = 671086080. Its totient is φ = 70778880.

The previous prime is 231604199. The next prime is 231604229. The reversal of 231604224 is 422406132.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 231604194 and 231604203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231604229) 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, 7471089 + ... + 7471119.

It is an arithmetic number, because the mean of its divisors is an integer number (4660320).

Almost surely, 2231604224 is an apocalyptic number.

231604224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231604224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335543040).

231604224 is an abundant number, since it is smaller than the sum of its proper divisors (439481856).

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

231604224 is an frugal number, since it uses more digits than its factorization.

231604224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 231604224 is about 15218.5486824467. The cubic root of 231604224 is about 614.1137555504.

The spelling of 231604224 in words is "two hundred thirty-one million, six hundred four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 31 32 38 48 57 62 64 76 93 96 114 124 128 152 186 192 228 248 256 304 372 384 456 496 512 589 608 744 768 912 992 1024 1178 1216 1488 1536 1767 1824 1984 2048 2356 2432 2976 3072 3534 3648 3968 4096 4712 4864 5952 6144 7068 7296 7936 8192 9424 9728 11904 12288 14136 14592 15872 16384 18848 19456 23808 24576 28272 29184 31744 32768 37696 38912 47616 49152 56544 58368 63488 65536 75392 77824 95232 98304 113088 116736 126976 131072 150784 155648 190464 196608 226176 233472 253952 301568 311296 380928 393216 452352 466944 507904 603136 622592 761856 904704 933888 1015808 1206272 1245184 1523712 1809408 1867776 2031616 2412544 2490368 3047424 3618816 3735552 4063232 4825088 6094848 7237632 7471104 9650176 12189696 14475264 19300352 28950528 38600704 57901056 77201408 115802112 231604224