Search a number
-
+
133133322224 = 24721632773761
BaseRepresentation
bin111101111111101011…
…1010100011111110000
3110201122021211111200002
41323333113110133300
54140124112302344
6141054405045132
712422111365400
oct1737727243760
9421567744602
10133133322224
1151509320531
12219760b67a8
13c729098a56
14662d698800
1536e2e9044e
hex1eff5d47f0

133133322224 has 120 divisors (see below), whose sum is σ = 303070722768. Its totient is φ = 56487352320.

The previous prime is 133133322211. The next prime is 133133322251. The reversal of 133133322224 is 422223331331.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35396504 + ... + 35400264.

Almost surely, 2133133322224 is an apocalyptic number.

133133322224 is a gapful number since it is divisible by the number (14) 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 133133322224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151535361384).

133133322224 is an abundant number, since it is smaller than the sum of its proper divisors (169937400544).

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

133133322224 is a wasteful number, since it uses less digits than its factorization.

133133322224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4223 (or 4210 counting only the distinct ones).

The product of its digits is 15552, while the sum is 29.

Adding to 133133322224 its reverse (422223331331), we get a palindrome (555356653555).

The spelling of 133133322224 in words is "one hundred thirty-three billion, one hundred thirty-three million, three hundred twenty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 163 196 277 326 392 554 652 784 1108 1141 1304 1939 2216 2282 2608 3761 3878 4432 4564 7522 7756 7987 9128 13573 15044 15512 15974 18256 26327 27146 30088 31024 31948 45151 52654 54292 60176 63896 90302 105308 108584 127792 180604 184289 210616 217168 316057 361208 368578 421232 613043 632114 722416 737156 1041797 1226086 1264228 1474312 2083594 2212399 2452172 2528456 2948624 4167188 4291301 4424798 4904344 5056912 7292579 8334376 8582602 8849596 9808688 14585158 16668752 17165204 17699192 29170316 30039107 34330408 35398384 51048053 58340632 60078214 68660816 102096106 116681264 120156428 169812911 204192212 240312856 339625822 408384424 480625712 679251644 816768848 1188690377 1358503288 2377380754 2717006576 4754761508 8320832639 9509523016 16641665278 19019046032 33283330556 66566661112 133133322224