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1223332096 = 2872367443
BaseRepresentation
bin100100011101010…
…1001000100000000
310011020220201011011
41020322221010000
510001133111341
6321220130304
742213102610
oct11072510400
93136821134
101223332096
115785a2568
122a1836994
131665a345c
14b8684a40
15725e8b81
hex48ea9100

1223332096 has 144 divisors (see below), whose sum is σ = 2962197504. Its totient is φ = 492890112.

The previous prime is 1223332091. The next prime is 1223332109. The reversal of 1223332096 is 6902333221.

It is not an unprimeable number, because it can be changed into a prime (1223332091) 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, 2761251 + ... + 2761693.

It is an arithmetic number, because the mean of its divisors is an integer number (20570816).

Almost surely, 21223332096 is an apocalyptic number.

1223332096 is a gapful number since it is divisible by the number (16) 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 1223332096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1481098752).

1223332096 is an abundant number, since it is smaller than the sum of its proper divisors (1738865408).

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

1223332096 is an equidigital number, since it uses as much as digits as its factorization.

1223332096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 31.

The square root of 1223332096 is about 34976.1646839673. The cubic root of 1223332096 is about 1069.5016446544.

The spelling of 1223332096 in words is "one billion, two hundred twenty-three million, three hundred thirty-two thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 64 67 92 112 128 134 161 184 224 256 268 322 368 443 448 469 536 644 736 886 896 938 1072 1288 1472 1541 1772 1792 1876 2144 2576 2944 3082 3101 3544 3752 4288 5152 5888 6164 6202 7088 7504 8576 10189 10304 10787 12328 12404 14176 15008 17152 20378 20608 21574 24656 24808 28352 29681 30016 40756 41216 43148 49312 49616 56704 59362 60032 71323 81512 86296 98624 99232 113408 118724 120064 142646 163024 172592 197248 198464 207767 237448 285292 326048 345184 394496 396928 415534 474896 570584 652096 682663 690368 793856 831068 949792 1141168 1304192 1365326 1380736 1662136 1899584 2282336 2608384 2730652 2761472 3324272 3799168 4564672 4778641 5461304 6648544 7598336 9129344 9557282 10922608 13297088 18258688 19114564 21845216 26594176 38229128 43690432 53188352 76458256 87380864 152916512 174761728 305833024 611666048 1223332096