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2233241231232 = 273111074941149
BaseRepresentation
bin100000011111110111100…
…011001101111110000000
321220111101102101001012210
4200133313203031332000
5243042134223344412
64425534210022120
7320226541154454
oct40376743157600
97814342331183
102233241231232
11791126500010
12300997b77940
131327945c222b
147a137658664
153d1598c083c
hex207f78cdf80

2233241231232 has 128 divisors (see below), whose sum is σ = 6531805008000. Its totient is φ = 670414960640.

The previous prime is 2233241231231. The next prime is 2233241231341. The reversal of 2233241231232 is 2321321423322.

It is a tau number, because it is divible by the number of its divisors (128).

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 2233241231232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2233241231231) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2018607 + ... + 2922542.

It is an arithmetic number, because the mean of its divisors is an integer number (51029726625).

Almost surely, 22233241231232 is an apocalyptic number.

2233241231232 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2233241231232 is an abundant number, since it is smaller than the sum of its proper divisors (4298563776768).

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

2233241231232 is a wasteful number, since it uses less digits than its factorization.

2233241231232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4941284 (or 4941272 counting only the distinct ones).

The product of its digits is 20736, while the sum is 30.

Adding to 2233241231232 its reverse (2321321423322), we get a palindrome (4554562654554).

The spelling of 2233241231232 in words is "two trillion, two hundred thirty-three billion, two hundred forty-one million, two hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 107 128 132 176 192 214 264 321 352 384 428 528 642 704 856 1056 1177 1284 1408 1712 2112 2354 2568 3424 3531 4224 4708 5136 6848 7062 9416 10272 13696 14124 18832 20544 28248 37664 41088 56496 75328 112992 150656 225984 451968 4941149 9882298 14823447 19764596 29646894 39529192 54352639 59293788 79058384 108705278 118587576 158116768 163057917 217410556 237175152 316233536 326115834 434821112 474350304 528702943 632467072 652231668 869642224 948700608 1057405886 1304463336 1586108829 1739284448 1897401216 2114811772 2608926672 3172217658 3478568896 4229623544 5217853344 5815732373 6344435316 6957137792 8459247088 10435706688 11631464746 12688870632 16918494176 17447197119 20871413376 23262929492 25377741264 33836988352 34894394238 46525858984 50755482528 67673976704 69788788476 93051717968 101510965056 139577576952 186103435936 203021930112 279155153904 372206871872 558310307808 744413743744 1116620615616 2233241231232