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201033664 = 2613475397
BaseRepresentation
bin10111111101110…
…00011111000000
3112000021120100021
423332320133000
5402431034124
631540503224
74660520656
oct1376703700
9460246307
10201033664
11a3529627
12573aab14
1332859940
141c9b0dd6
15129b07e4
hexbfb87c0

201033664 has 112 divisors (see below), whose sum is σ = 451640448. Its totient is φ = 88178688.

The previous prime is 201033601. The next prime is 201033671. The reversal of 201033664 is 466330102.

It is a super-2 number, since 2×2010336642 = 80829068122529792, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2072464 + ... + 2072560.

It is an arithmetic number, because the mean of its divisors is an integer number (4032504).

Almost surely, 2201033664 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 201033664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225820224).

201033664 is an abundant number, since it is smaller than the sum of its proper divisors (250606784).

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

201033664 is a wasteful number, since it uses less digits than its factorization.

201033664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

The square root of 201033664 is about 14178.6340667922. The cubic root of 201033664 is about 585.8093008997.

Adding to 201033664 its reverse (466330102), we get a palindrome (667363766).

The spelling of 201033664 in words is "two hundred one million, thirty-three thousand, six hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 32 47 52 53 64 94 97 104 106 188 194 208 212 376 388 416 424 611 689 752 776 832 848 1222 1261 1378 1504 1552 1696 2444 2491 2522 2756 3008 3104 3392 4559 4888 4982 5044 5141 5512 6208 9118 9776 9964 10088 10282 11024 18236 19552 19928 20176 20564 22048 32383 36472 39104 39856 40352 41128 44096 59267 64766 66833 72944 79712 80704 82256 118534 129532 133666 145888 159424 164512 237068 241627 259064 267332 291776 329024 474136 483254 518128 534664 948272 966508 1036256 1069328 1896544 1933016 2072512 2138656 3141151 3793088 3866032 4277312 6282302 7732064 12564604 15464128 25129208 50258416 100516832 201033664