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2242010133240 = 2335831571433767
BaseRepresentation
bin100000101000000010001…
…101111011001011111000
321221100000112121102101020
4200220002031323023320
5243213114043230430
64433544254022440
7320660046460443
oct40500215731370
97840015542336
102242010133240
117949162a8969
123026247a7a20
1313356121a547
147a72a0b465a
153d4be64db10
hex20a0237b2f8

2242010133240 has 128 divisors (see below), whose sum is σ = 6850428802560. Its totient is φ = 586903509504.

The previous prime is 2242010133239. The next prime is 2242010133257. The reversal of 2242010133240 is 423310102422.

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 2242010133240.

It is a congruent number.

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, 846837 + ... + 2280603.

It is an arithmetic number, because the mean of its divisors is an integer number (53518975020).

Almost surely, 22242010133240 is an apocalyptic number.

2242010133240 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 2242010133240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3425214401280).

2242010133240 is an abundant number, since it is smaller than the sum of its proper divisors (4608418669320).

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

2242010133240 is a wasteful number, since it uses less digits than its factorization.

2242010133240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1434021 (or 1434017 counting only the distinct ones).

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

Adding to 2242010133240 its reverse (423310102422), we get a palindrome (2665320235662).

The spelling of 2242010133240 in words is "two trillion, two hundred forty-two billion, ten million, one hundred thirty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 83 120 157 166 249 314 332 415 471 498 628 664 785 830 942 996 1245 1256 1570 1660 1884 1992 2355 2490 3140 3320 3768 4710 4980 6280 9420 9960 13031 18840 26062 39093 52124 65155 78186 104248 130310 156372 195465 260620 312744 390930 521240 781860 1433767 1563720 2867534 4301301 5735068 7168835 8602602 11470136 14337670 17205204 21506505 28675340 34410408 43013010 57350680 86026020 119002661 172052040 225101419 238005322 357007983 450202838 476010644 595013305 675304257 714015966 900405676 952021288 1125507095 1190026610 1350608514 1428031932 1785039915 1800811352 2251014190 2380053220 2701217028 2856063864 3376521285 3570079830 4502028380 4760106440 5402434056 6753042570 7140159660 9004056760 13506085140 14280319320 18683417777 27012170280 37366835554 56050253331 74733671108 93417088885 112100506662 149467342216 186834177770 224201013324 280251266655 373668355540 448402026648 560502533310 747336711080 1121005066620 2242010133240