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1223221000 = 23534328447
BaseRepresentation
bin100100011101000…
…1101111100001000
310011020201001202111
41020322031330020
510001121033000
6321213512104
742212130661
oct11072157410
93136631674
101223221000
11578527051
122a17a2634
13166564a11
14b8656368
15725c5cba
hex48e8df08

1223221000 has 64 divisors (see below), whose sum is σ = 2929006080. Its totient is φ = 477892800.

The previous prime is 1223220997. The next prime is 1223221031. The reversal of 1223221000 is 1223221.

It is a super-2 number, since 2×12232210002 = 2992539229682000000, which contains 22 as substring.

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, 28777 + ... + 57223.

It is an arithmetic number, because the mean of its divisors is an integer number (45765720).

Almost surely, 21223221000 is an apocalyptic number.

1223221000 is a gapful number since it is divisible by the number (10) 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 1223221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1464503040).

1223221000 is an abundant number, since it is smaller than the sum of its proper divisors (1705785080).

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

1223221000 is a wasteful number, since it uses less digits than its factorization.

1223221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28511 (or 28497 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 1223221000 is about 34974.5764806380. The cubic root of 1223221000 is about 1069.4692683405.

Adding to 1223221000 its reverse (1223221), we get a palindrome (1224444221).

1223221000 divided by its reverse (1223221) gives a cube (1000 = 103).

The spelling of 1223221000 in words is "one billion, two hundred twenty-three million, two hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 43 50 86 100 125 172 200 215 250 344 430 500 860 1000 1075 1720 2150 4300 5375 8600 10750 21500 28447 43000 56894 113788 142235 227576 284470 568940 711175 1137880 1223221 1422350 2446442 2844700 3555875 4892884 5689400 6116105 7111750 9785768 12232210 14223500 24464420 28447000 30580525 48928840 61161050 122322100 152902625 244644200 305805250 611610500 1223221000