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2233321122040 = 2353113124675573
BaseRepresentation
bin100000011111111100010…
…011111110100011111000
321220111120222200220210121
4200133330103332203320
5243042320201401130
64425550142223024
7320231531214331
oct40377423764370
97814528626717
102233321122040
11791167607178
123009ba884a74
131327a80149b8
147a1440d3288
153d161901d7a
hex207fc4fe8f8

2233321122040 has 128 divisors (see below), whose sum is σ = 5229721221120. Its totient is φ = 857410444800.

The previous prime is 2233321122029. The next prime is 2233321122047. The reversal of 2233321122040 is 402211233322.

It is a junction number, because it is equal to n+sod(n) for n = 2233321121996 and 2233321122014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2233321122047) 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, 400736694 + ... + 400742266.

It is an arithmetic number, because the mean of its divisors is an integer number (40857197040).

Almost surely, 22233321122040 is an apocalyptic number.

2233321122040 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 2233321122040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2614860610560).

2233321122040 is an abundant number, since it is smaller than the sum of its proper divisors (2996400099080).

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

2233321122040 is a wasteful number, since it uses less digits than its factorization.

2233321122040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8213 (or 8209 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 2233321122040 its reverse (402211233322), we get a palindrome (2635532355362).

The spelling of 2233321122040 in words is "two trillion, two hundred thirty-three billion, three hundred twenty-one million, one hundred twenty-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 131 155 248 262 310 524 620 655 1048 1240 1310 2467 2620 4061 4934 5240 5573 8122 9868 11146 12335 16244 19736 20305 22292 24670 27865 32488 40610 44584 49340 55730 76477 81220 98680 111460 152954 162440 172763 222920 305908 323177 345526 382385 611816 646354 691052 730063 764770 863815 1292708 1382104 1460126 1529540 1615885 1727630 2585416 2920252 3059080 3231770 3455260 3650315 5840504 6463540 6910520 7300630 10018487 12927080 13748591 14601260 20036974 22631953 27497182 29202520 40073948 45263906 50092435 54994364 68742955 80147896 90527812 100184870 109988728 113159765 137485910 181055624 200369740 226319530 274971820 400739480 426206321 452639060 549943640 852412642 905278120 1704825284 1801065421 2131031605 3409650568 3602130842 4262063210 7204261684 8524126420 9005327105 14408523368 17048252840 18010654210 36021308420 55833028051 72042616840 111666056102 223332112204 279165140255 446664224408 558330280510 1116660561020 2233321122040