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2210441404140 = 22325179461148817
BaseRepresentation
bin100000001010101000100…
…100110001111011101100
321211022112110110211020100
4200022220210301323230
5242203440444413030
64411243542351100
7315461540632404
oct40125044617354
97738473424210
102210441404140
11782496601502
122b849442b490
1313059cb4ac98
1478db3595804
153c772e51360
hex202a8931eec

2210441404140 has 144 divisors (see below), whose sum is σ = 6757134864480. Its totient is φ = 584882595840.

The previous prime is 2210441404123. The next prime is 2210441404243. The reversal of 2210441404140 is 414041440122.

It is a happy number.

2210441404140 is a `hidden beast` number, since 2 + 2 + 104 + 4 + 140 + 414 + 0 = 666.

It is a super-2 number, since 2×22104414041402 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14779012 + ... + 14927828.

It is an arithmetic number, because the mean of its divisors is an integer number (46924547670).

Almost surely, 22210441404140 is an apocalyptic number.

2210441404140 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 2210441404140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3378567432240).

2210441404140 is an abundant number, since it is smaller than the sum of its proper divisors (4546693460340).

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

2210441404140 is a wasteful number, since it uses less digits than its factorization.

2210441404140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149472 (or 149467 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 2210441404140 its reverse (414041440122), we get a palindrome (2624482844262).

The spelling of 2210441404140 in words is "two trillion, two hundred ten billion, four hundred forty-one million, four hundred four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 179 180 358 461 537 716 895 922 1074 1383 1611 1790 1844 2148 2305 2685 2766 3222 3580 4149 4610 5370 5532 6444 6915 8055 8298 9220 10740 13830 16110 16596 20745 27660 32220 41490 82519 82980 148817 165038 247557 297634 330076 412595 446451 495114 595268 742671 744085 825190 892902 990228 1237785 1339353 1485342 1488170 1650380 1785804 2232255 2475570 2678706 2970684 2976340 3713355 4464510 4951140 5357412 6696765 7426710 8929020 13393530 14853420 26638243 26787060 53276486 68604637 79914729 106552972 133191215 137209274 159829458 205813911 239744187 266382430 274418548 319658916 343023185 399573645 411627822 479488374 532764860 617441733 686046370 799147290 823255644 958976748 1029069555 1198720935 1234883466 1372092740 1598294580 2058139110 2397441870 2469766932 3087208665 4116278220 4794883740 6174417330 12280230023 12348834660 24560460046 36840690069 49120920092 61401150115 73681380138 110522070207 122802300230 147362760276 184203450345 221044140414 245604600460 368406900690 442088280828 552610351035 736813801380 1105220702070 2210441404140