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271221696 = 2634113463
BaseRepresentation
bin10000001010101…
…000001111000000
3200220100111020000
4100022220033000
51023413043241
642525120000
76502226544
oct2012501700
9626314200
10271221696
1112a108969
12769b9000
1344262c15
1428041a24
1518c26eb6
hex102a83c0

271221696 has 140 divisors (see below), whose sum is σ = 812852832. Its totient is φ = 89413632.

The previous prime is 271221661. The next prime is 271221701. The reversal of 271221696 is 696122172.

It is a super-2 number, since 2×2712216962 = 147122416762232832, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 271221696.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 585561 + ... + 586023.

Almost surely, 2271221696 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 271221696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406426416).

271221696 is an abundant number, since it is smaller than the sum of its proper divisors (541631136).

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

271221696 is a wasteful number, since it uses less digits than its factorization.

271221696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 581 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 271221696 is about 16468.8097930603. The cubic root of 271221696 is about 647.3037789865.

The spelling of 271221696 in words is "two hundred seventy-one million, two hundred twenty-one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 113 144 162 192 216 226 288 324 339 432 452 463 576 648 678 864 904 926 1017 1296 1356 1389 1728 1808 1852 2034 2592 2712 2778 3051 3616 3704 4068 4167 5184 5424 5556 6102 7232 7408 8136 8334 9153 10848 11112 12204 12501 14816 16272 16668 18306 21696 22224 24408 25002 29632 32544 33336 36612 37503 44448 48816 50004 52319 65088 66672 73224 75006 88896 97632 100008 104638 133344 146448 150012 156957 195264 200016 209276 266688 292896 300024 313914 400032 418552 470871 585792 600048 627828 800064 837104 941742 1200096 1255656 1412613 1674208 1883484 2400192 2511312 2825226 3348416 3766968 4237839 5022624 5650452 7533936 8475678 10045248 11300904 15067872 16951356 22601808 30135744 33902712 45203616 67805424 90407232 135610848 271221696