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1226068632 = 2332192431097
BaseRepresentation
bin100100100010100…
…0101001010011000
310011110001201222100
41021011011022120
510002333144012
6321354523400
742245261055
oct11105051230
93143051870
101226068632
1157a0a1568
122a2736560
13167020bc9
14b8b9802c
15729898dc
hex49145298

1226068632 has 144 divisors (see below), whose sum is σ = 3589340040. Its totient is φ = 377830656.

The previous prime is 1226068621. The next prime is 1226068643. The reversal of 1226068632 is 2368606221.

1226068632 is a `hidden beast` number, since 12 + 2 + 6 + 0 + 6 + 8 + 632 = 666.

It is an interprime number because it is at equal distance from previous prime (1226068621) and next prime (1226068643).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1117108 + ... + 1118204.

Almost surely, 21226068632 is an apocalyptic number.

1226068632 is a gapful number since it is divisible by the number (12) 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 1226068632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1794670020).

1226068632 is an abundant number, since it is smaller than the sum of its proper divisors (2363271408).

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

1226068632 is a wasteful number, since it uses less digits than its factorization.

1226068632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1190 (or 1164 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 1226068632 is about 35015.2628435087. The cubic root of 1226068632 is about 1070.2985256081.

The spelling of 1226068632 in words is "one billion, two hundred twenty-six million, sixty-eight thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 43 57 72 76 86 114 129 152 171 172 228 258 342 344 361 387 456 516 684 722 774 817 1032 1083 1097 1368 1444 1548 1634 2166 2194 2451 2888 3096 3249 3268 3291 4332 4388 4902 6498 6536 6582 7353 8664 8776 9804 9873 12996 13164 14706 15523 19608 19746 20843 25992 26328 29412 31046 39492 41686 46569 47171 58824 62092 62529 78984 83372 93138 94342 124184 125058 139707 141513 166744 186276 187587 188684 250116 279414 283026 372552 375174 377368 396017 424539 500232 558828 566052 750348 792034 849078 896249 1117656 1132104 1188051 1500696 1584068 1698156 1792498 2376102 2688747 3168136 3396312 3564153 3584996 4752204 5377494 7128306 7169992 8066241 9504408 10754988 14256612 16132482 17028731 21509976 28513224 32264964 34057462 51086193 64529928 68114924 102172386 136229848 153258579 204344772 306517158 408689544 613034316 1226068632