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1223231232 = 28331191269
BaseRepresentation
bin100100011101001…
…0000011100000000
310011020201120210110
41020322100130000
510001121344412
6321214031320
742212202546
oct11072203400
93136646713
101223231232
11578533803
122a17a8540
13166569582
14b8659d96
15725c8d3c
hex48e90700

1223231232 has 144 divisors (see below), whose sum is σ = 3390750720. Its totient is φ = 391065600.

The previous prime is 1223231221. The next prime is 1223231257. The reversal of 1223231232 is 2321323221.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1223231199 and 1223231208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4547194 + ... + 4547462.

It is an arithmetic number, because the mean of its divisors is an integer number (23546880).

Almost surely, 21223231232 is an apocalyptic number.

1223231232 is a gapful number since it is divisible by the number (12) 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 1223231232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1695375360).

1223231232 is an abundant number, since it is smaller than the sum of its proper divisors (2167519488).

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

1223231232 is a wasteful number, since it uses less digits than its factorization.

1223231232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 496 counting only the distinct ones).

The product of its digits is 864, while the sum is 21.

The square root of 1223231232 is about 34974.7227580148. The cubic root of 1223231232 is about 1069.4722502980.

Adding to 1223231232 its reverse (2321323221), we get a palindrome (3544554453).

The spelling of 1223231232 in words is "one billion, two hundred twenty-three million, two hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 191 192 248 256 269 372 382 384 496 538 573 744 764 768 807 992 1076 1146 1488 1528 1614 1984 2152 2292 2976 3056 3228 3968 4304 4584 5921 5952 6112 6456 7936 8339 8608 9168 11842 11904 12224 12912 16678 17216 17763 18336 23684 23808 24448 25017 25824 33356 34432 35526 36672 47368 48896 50034 51379 51648 66712 68864 71052 73344 94736 100068 102758 103296 133424 142104 146688 154137 189472 200136 205516 206592 266848 284208 308274 378944 400272 411032 533696 568416 616548 757888 800544 822064 1067392 1136832 1233096 1515776 1592749 1601088 1644128 2134784 2273664 2466192 3185498 3202176 3288256 4547328 4778247 4932384 6370996 6404352 6576512 9556494 9864768 12741992 13153024 19112988 19729536 25483984 38225976 39459072 50967968 76451952 101935936 152903904 203871872 305807808 407743744 611615616 1223231232