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2214200221002 = 2327116481246497
BaseRepresentation
bin100000001110001000100…
…111100001110101001010
321211200020102100111121200
4200032020213201311022
5242234140224033002
64413104535045030
7315653642225220
oct40161047416512
97750212314550
102214200221002
11784045334220
122b9163210776
13130a4b7c6183
147924c886b10
153c8e2e34b1c
hex203889e1d4a

2214200221002 has 96 divisors (see below), whose sum is σ = 5982163334784. Its totient is φ = 575025868800.

The previous prime is 2214200220983. The next prime is 2214200221039. The reversal of 2214200221002 is 2001220024122.

2214200221002 is a `hidden beast` number, since 2 + 21 + 420 + 0 + 221 + 0 + 0 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8859418 + ... + 9105914.

It is an arithmetic number, because the mean of its divisors is an integer number (62314201404).

Almost surely, 22214200221002 is an apocalyptic number.

2214200221002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2214200221002 is an abundant number, since it is smaller than the sum of its proper divisors (3767963113782).

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

2214200221002 is a wasteful number, since it uses less digits than its factorization.

2214200221002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253004 (or 253001 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 2214200221002 its reverse (2001220024122), we get a palindrome (4215420245124).

The spelling of 2214200221002 in words is "two trillion, two hundred fourteen billion, two hundred million, two hundred twenty-one thousand, two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 231 462 693 1386 6481 12962 19443 38886 45367 58329 71291 90734 116658 136101 142582 213873 246497 272202 408303 427746 492994 499037 641619 739491 816606 998074 1283238 1478982 1497111 1725479 2218473 2711467 2994222 3450958 4436946 4491333 5176437 5422934 8134401 8982666 10352874 15529311 16268802 18980269 24403203 31058622 37960538 48806406 56940807 113881614 170822421 341644842 1597547057 3195094114 4792641171 9585282342 11182829399 14377923513 17573017627 22365658798 28755847026 33548488197 35146035254 52719052881 67096976394 100645464591 105438105762 123011123389 158157158643 201290929182 246022246778 316314317286 369033370167 738066740334 1107100110501 2214200221002