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1225277064 = 2333111493461
BaseRepresentation
bin100100100001000…
…0011111010001000
310011101120112011000
41021002003322020
510002132331224
6321325535000
742235453224
oct11102037210
93141515130
101225277064
11579700880
122a2414460
13166b0481b
14b8a2d784
15728800c9
hex49083e88

1225277064 has 128 divisors (see below), whose sum is σ = 3738960000. Its totient is φ = 368697600.

The previous prime is 1225277063. The next prime is 1225277093. The reversal of 1225277064 is 4607725221.

It is a happy number.

1225277064 is a `hidden beast` number, since 1 + 2 + 2 + 527 + 70 + 64 = 666.

1225277064 is nontrivially palindromic in base 7.

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

It is not an unprimeable number, because it can be changed into a prime (1225277063) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 352294 + ... + 355754.

It is an arithmetic number, because the mean of its divisors is an integer number (29210625).

Almost surely, 21225277064 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 1225277064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1869480000).

1225277064 is an abundant number, since it is smaller than the sum of its proper divisors (2513682936).

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

1225277064 is a wasteful number, since it uses less digits than its factorization.

1225277064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3636 (or 3626 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 1225277064 is about 35003.9578333651. The cubic root of 1225277064 is about 1070.0681425144.

The spelling of 1225277064 in words is "one billion, two hundred twenty-five million, two hundred seventy-seven thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 149 198 216 264 297 298 396 447 594 596 792 894 1188 1192 1341 1639 1788 2376 2682 3278 3461 3576 4023 4917 5364 6556 6922 8046 9834 10383 10728 13112 13844 14751 16092 19668 20766 27688 29502 31149 32184 38071 39336 41532 44253 59004 62298 76142 83064 88506 93447 114213 118008 124596 152284 177012 186894 228426 249192 304568 342639 354024 373788 456852 515689 685278 747576 913704 1027917 1031378 1370556 1547067 2055834 2062756 2741112 3094134 4111668 4125512 4641201 5672579 6188268 8223336 9282402 11345158 12376536 13923603 17017737 18564804 22690316 27847206 34035474 37129608 45380632 51053211 55694412 68070948 102106422 111388824 136141896 153159633 204212844 306319266 408425688 612638532 1225277064