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1226821020 = 223561794243
BaseRepresentation
bin100100100011111…
…1100110110011100
310011111110222001120
41021013330312130
510003031233040
6321423010540
742254543445
oct11107746634
93144428046
101226821020
1157a565877
122a2a39a50
131672254c9
14b8d122cc
1572a877d0
hex491fcd9c

1226821020 has 96 divisors (see below), whose sum is σ = 3536440320. Its totient is φ = 317640960.

The previous prime is 1226821009. The next prime is 1226821021. The reversal of 1226821020 is 201286221.

It is a super-2 number, since 2×12268210202 = 3010179630227680800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1226821021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 287019 + ... + 291261.

It is an arithmetic number, because the mean of its divisors is an integer number (36837920).

Almost surely, 21226821020 is an apocalyptic number.

1226821020 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 1226821020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1768220160).

1226821020 is an abundant number, since it is smaller than the sum of its proper divisors (2309619300).

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

1226821020 is a wasteful number, since it uses less digits than its factorization.

1226821020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4395 (or 4393 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 1226821020 is about 35026.0049106375. The cubic root of 1226821020 is about 1070.5174135996.

The spelling of 1226821020 in words is "one billion, two hundred twenty-six million, eight hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 61 79 122 158 183 237 244 305 316 366 395 474 610 732 790 915 948 1185 1220 1580 1830 2370 3660 4243 4740 4819 8486 9638 12729 14457 16972 19276 21215 24095 25458 28914 42430 48190 50916 57828 63645 72285 84860 96380 127290 144570 254580 258823 289140 335197 517646 670394 776469 1005591 1035292 1294115 1340788 1552938 1675985 2011182 2588230 3105876 3351970 3882345 4022364 5027955 5176460 6703940 7764690 10055910 15529380 20111820 20447017 40894034 61341051 81788068 102235085 122682102 204470170 245364204 306705255 408940340 613410510 1226821020