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2147222440 = 235113311301
BaseRepresentation
bin111111111111100…
…0000001110101000
312112122101012110001
41333333000032220
513344142104230
6553022232344
7104132042506
oct17777001650
95478335401
102147222440
11a02062000
124bb1256b4
13282b12c2c
1416525d676
15c87940ca
hex7ffc03a8

2147222440 has 128 divisors (see below), whose sum is σ = 5489648640. Its totient is φ = 755040000.

The previous prime is 2147222423. The next prime is 2147222489. The reversal of 2147222440 is 442227412.

It is a super-2 number, since 2×21472224402 = 9221128413679107200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2147222399 and 2147222408.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1649790 + ... + 1651090.

It is an arithmetic number, because the mean of its divisors is an integer number (42887880).

Almost surely, 22147222440 is an apocalyptic number.

2147222440 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 2147222440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2744824320).

2147222440 is an abundant number, since it is smaller than the sum of its proper divisors (3342426200).

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

2147222440 is a wasteful number, since it uses less digits than its factorization.

2147222440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1376 (or 1350 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 28.

The square root of 2147222440 is about 46338.1315980694. The cubic root of 2147222440 is about 1290.1068437034.

Adding to 2147222440 its reverse (442227412), we get a palindrome (2589449852).

The spelling of 2147222440 in words is "two billion, one hundred forty-seven million, two hundred twenty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 31 40 44 55 62 88 110 121 124 155 220 242 248 310 341 440 484 605 620 682 968 1210 1240 1301 1331 1364 1705 2420 2602 2662 2728 3410 3751 4840 5204 5324 6505 6655 6820 7502 10408 10648 13010 13310 13640 14311 15004 18755 26020 26620 28622 30008 37510 40331 41261 52040 53240 57244 71555 75020 80662 82522 114488 143110 150040 157421 161324 165044 201655 206305 286220 314842 322648 330088 403310 412610 443641 572440 629684 787105 806620 825220 887282 1259368 1574210 1613240 1650440 1731631 1774564 2218205 3148420 3463262 3549128 4436410 4880051 6296840 6926524 8658155 8872820 9760102 13853048 17316310 17745640 19520204 24400255 34632620 39040408 48800510 53680561 69265240 97601020 107361122 195202040 214722244 268402805 429444488 536805610 1073611220 2147222440