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1222831488 = 27317199859
BaseRepresentation
bin100100011100010…
…1110110110000000
310011012222021110010
41020320232312000
510001021101423
6321201304520
742205616244
oct11070566600
93135867403
101222831488
1157829043a
122a1635140
13166459638
14b8594424
157254a693
hex48e2ed80

1222831488 has 128 divisors (see below), whose sum is σ = 3620592000. Its totient is φ = 363405312.

The previous prime is 1222831483. The next prime is 1222831523. The reversal of 1222831488 is 8841382221.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1222831483) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 119103 + ... + 128961.

It is an arithmetic number, because the mean of its divisors is an integer number (28285875).

Almost surely, 21222831488 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 1222831488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1810296000).

1222831488 is an abundant number, since it is smaller than the sum of its proper divisors (2397760512).

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

1222831488 is a wasteful number, since it uses less digits than its factorization.

1222831488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9912 (or 9900 counting only the distinct ones).

The product of its digits is 49152, while the sum is 39.

The square root of 1222831488 is about 34969.0075352447. The cubic root of 1222831488 is about 1069.3557387500.

The spelling of 1222831488 in words is "one billion, two hundred twenty-two million, eight hundred thirty-one thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 19 24 32 34 38 48 51 57 64 68 76 96 102 114 128 136 152 192 204 228 272 304 323 384 408 456 544 608 646 816 912 969 1088 1216 1292 1632 1824 1938 2176 2432 2584 3264 3648 3876 5168 6528 7296 7752 9859 10336 15504 19718 20672 29577 31008 39436 41344 59154 62016 78872 118308 124032 157744 167603 187321 236616 315488 335206 374642 473232 502809 561963 630976 670412 749284 946464 1005618 1123926 1261952 1340824 1498568 1892928 2011236 2247852 2681648 2997136 3184457 3785856 4022472 4495704 5363296 5994272 6368914 8044944 8991408 9553371 10726592 11988544 12737828 16089888 17982816 19106742 21453184 23977088 25475656 32179776 35965632 38213484 50951312 64359552 71931264 76426968 101902624 152853936 203805248 305707872 407610496 611415744 1222831488