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2332214012040 = 2335112857618421
BaseRepresentation
bin100001111100000010110…
…010011010100010001000
322020221212000010020122020
4201330002302122202020
5301202333241341130
64543223200124440
7330332303005023
oct41740262324210
98227760106566
102332214012040
1181a0a5011130
12317bb9906720
1313bc08354463
1480c460c41ba
15409ed84de10
hex21f02c9a888

2332214012040 has 128 divisors (see below), whose sum is σ = 7635384328320. Its totient is φ = 565186406400.

The previous prime is 2332214012021. The next prime is 2332214012047. The reversal of 2332214012040 is 402104122332.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2332214012040.

It is not an unprimeable number, because it can be changed into a prime (2332214012047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3462030 + ... + 4080450.

It is an arithmetic number, because the mean of its divisors is an integer number (59651440065).

Almost surely, 22332214012040 is an apocalyptic number.

2332214012040 is a gapful number since it is divisible by the number (20) 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 2332214012040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3817692164160).

2332214012040 is an abundant number, since it is smaller than the sum of its proper divisors (5303170316280).

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

2332214012040 is a wasteful number, since it uses less digits than its factorization.

2332214012040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621303 (or 621299 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 2332214012040 its reverse (402104122332), we get a palindrome (2734318134372).

The spelling of 2332214012040 in words is "two trillion, three hundred thirty-two billion, two hundred fourteen million, twelve thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 2857 5714 8571 11428 14285 17142 22856 28570 31427 34284 42855 57140 62854 68568 85710 94281 114280 125708 157135 171420 188562 251416 314270 342840 377124 471405 618421 628540 754248 942810 1236842 1257080 1855263 1885620 2473684 3092105 3710526 3771240 4947368 6184210 6802631 7421052 9276315 12368420 13605262 14842104 18552630 20407893 24736840 27210524 34013155 37105260 40815786 54421048 68026310 74210520 81631572 102039465 136052620 163263144 204078930 272105240 408157860 816315720 1766828797 3533657594 5300486391 7067315188 8834143985 10600972782 14134630376 17668287970 19435116767 21201945564 26502431955 35336575940 38870233534 42403891128 53004863910 58305350301 70673151880 77740467068 97175583835 106009727820 116610700602 155480934136 194351167670 212019455640 233221401204 291526751505 388702335340 466442802408 583053503010 777404670680 1166107006020 2332214012040