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1218988224 = 26332330671
BaseRepresentation
bin100100010101000…
…0100100011000000
310010221202000111000
41020222010203000
54444030110344
6320543052000
742131141346
oct11052044300
93127660430
101218988224
115760a5993
122a02a1000
1316571220c
14b7c73996
157203ba69
hex48a848c0

1218988224 has 112 divisors (see below), whose sum is σ = 3739530240. Its totient is φ = 388650240.

The previous prime is 1218988223. The next prime is 1218988229. The reversal of 1218988224 is 4228898121.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1218988224.

It is not an unprimeable number, because it can be changed into a prime (1218988223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24409 + ... + 55079.

Almost surely, 21218988224 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 1218988224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1869765120).

1218988224 is an abundant number, since it is smaller than the sum of its proper divisors (2520542016).

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

1218988224 is a wasteful number, since it uses less digits than its factorization.

1218988224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30715 (or 30699 counting only the distinct ones).

The product of its digits is 147456, while the sum is 45.

The square root of 1218988224 is about 34914.0118577055. The cubic root of 1218988224 is about 1068.2342624608.

The spelling of 1218988224 in words is "one billion, two hundred eighteen million, nine hundred eighty-eight thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 92 96 108 138 144 184 192 207 216 276 288 368 414 432 552 576 621 736 828 864 1104 1242 1472 1656 1728 2208 2484 3312 4416 4968 6624 9936 13248 19872 30671 39744 61342 92013 122684 184026 245368 276039 368052 490736 552078 705433 736104 828117 981472 1104156 1410866 1472208 1656234 1962944 2116299 2208312 2821732 2944416 3312468 4232598 4416624 5643464 5888832 6348897 6624936 8465196 8833248 11286928 12697794 13249872 16930392 17666496 19046691 22573856 25395588 26499744 33860784 38093382 45147712 50791176 52999488 67721568 76186764 101582352 135443136 152373528 203164704 304747056 406329408 609494112 1218988224