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2131222440 = 2335103269641
BaseRepresentation
bin111111100000111…
…1101111110101000
312111112021022120110
41333001331332220
513331043104230
6551251254320
7103546043334
oct17701757650
95445238513
102131222440
119a4023a66
124b58aa3a0
1327c700389
141630967c4
15c71834b0
hex7f07dfa8

2131222440 has 128 divisors (see below), whose sum is σ = 6489849600. Its totient is φ = 559841280.

The previous prime is 2131222439. The next prime is 2131222447. The reversal of 2131222440 is 442221312.

It is not an unprimeable number, because it can be changed into a prime (2131222447) 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, 3324520 + ... + 3325160.

It is an arithmetic number, because the mean of its divisors is an integer number (50701950).

Almost surely, 22131222440 is an apocalyptic number.

2131222440 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 2131222440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3244924800).

2131222440 is an abundant number, since it is smaller than the sum of its proper divisors (4358627160).

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

2131222440 is a wasteful number, since it uses less digits than its factorization.

2131222440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1027 (or 1023 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 2131222440 is about 46165.1647890485. The cubic root of 2131222440 is about 1286.8944466247.

Adding to 2131222440 its reverse (442221312), we get a palindrome (2573443752).

The spelling of 2131222440 in words is "two billion, one hundred thirty-one million, two hundred twenty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 103 120 206 269 309 412 515 538 618 641 807 824 1030 1076 1236 1282 1345 1545 1614 1923 2060 2152 2472 2564 2690 3090 3205 3228 3846 4035 4120 5128 5380 6180 6410 6456 7692 8070 9615 10760 12360 12820 15384 16140 19230 25640 27707 32280 38460 55414 66023 76920 83121 110828 132046 138535 166242 172429 198069 221656 264092 277070 330115 332484 344858 396138 415605 517287 528184 554140 660230 664968 689716 792276 831210 862145 990345 1034574 1108280 1320460 1379432 1584552 1662420 1724290 1980690 2069148 2586435 2640920 3324840 3448580 3961380 4138296 5172870 6897160 7922760 10345740 17760187 20691480 35520374 53280561 71040748 88800935 106561122 142081496 177601870 213122244 266402805 355203740 426244488 532805610 710407480 1065611220 2131222440