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134222616 = 233311173323
BaseRepresentation
bin10000000000000…
…01001100011000
3100100120012211000
420000001030120
5233330110431
621152505000
73216605403
oct1000011430
9310505730
10134222616
1169846490
1238b4b160
1321a66788
1413b7cd3a
15bbb49e6
hex8001318

134222616 has 128 divisors (see below), whose sum is σ = 430790400. Its totient is φ = 38269440.

The previous prime is 134222587. The next prime is 134222623. The reversal of 134222616 is 616222431.

134222616 is a `hidden beast` number, since 1 + 3 + 42 + 2 + 2 + 616 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 134222616.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38731 + ... + 42053.

It is an arithmetic number, because the mean of its divisors is an integer number (3365550).

Almost surely, 2134222616 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 134222616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215395200).

134222616 is an abundant number, since it is smaller than the sum of its proper divisors (296567784).

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

134222616 is a wasteful number, since it uses less digits than its factorization.

134222616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3366 (or 3356 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 134222616 is about 11585.4484591664. The cubic root of 134222616 is about 512.0062153380.

The spelling of 134222616 in words is "one hundred thirty-four million, two hundred twenty-two thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 17 18 22 24 27 33 34 36 44 51 54 66 68 72 88 99 102 108 132 136 153 187 198 204 216 264 297 306 374 396 408 459 561 594 612 748 792 918 1122 1188 1224 1496 1683 1836 2244 2376 3323 3366 3672 4488 5049 6646 6732 9969 10098 13292 13464 19938 20196 26584 29907 36553 39876 40392 56491 59814 73106 79752 89721 109659 112982 119628 146212 169473 179442 219318 225964 239256 292424 328977 338946 358884 438636 451928 508419 621401 657954 677892 717768 877272 986931 1016838 1242802 1315908 1355784 1525257 1864203 1973862 2033676 2485604 2631816 3050514 3728406 3947724 4067352 4971208 5592609 6101028 7456812 7895448 11185218 12202056 14913624 16777827 22370436 33555654 44740872 67111308 134222616