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1002214190 = 2523293137131
BaseRepresentation
bin111011101111001…
…001001100101110
32120211211202102002
4323233021030232
54023031323230
6243240532302
733556452155
oct7357111456
92524752362
101002214190
114747a639a
1223b781092
1312c833c63
149716659c
155cebc545
hex3bbc932e

1002214190 has 128 divisors (see below), whose sum is σ = 2080235520. Its totient is φ = 345945600.

The previous prime is 1002214189. The next prime is 1002214217. The reversal of 1002214190 is 914122001.

It is a super-2 number, since 2×10022141902 = 2008866565274712200, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7650425 + ... + 7650555.

It is an arithmetic number, because the mean of its divisors is an integer number (16251840).

Almost surely, 21002214190 is an apocalyptic number.

1002214190 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1002214190 is an abundant number, since it is smaller than the sum of its proper divisors (1078021330).

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

1002214190 is a wasteful number, since it uses less digits than its factorization.

1002214190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258.

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 1002214190 is about 31657.7666615951. The cubic root of 1002214190 is about 1000.7375192649.

Adding to 1002214190 its reverse (914122001), we get a palindrome (1916336191).

The spelling of 1002214190 in words is "one billion, two million, two hundred fourteen thousand, one hundred ninety".

Divisors: 1 2 5 10 23 29 31 37 46 58 62 74 115 131 145 155 185 230 262 290 310 370 655 667 713 851 899 1073 1147 1310 1334 1426 1702 1798 2146 2294 3013 3335 3565 3799 4061 4255 4495 4847 5365 5735 6026 6670 7130 7598 8122 8510 8990 9694 10730 11470 15065 18995 20305 20677 24235 24679 26381 30130 33263 37990 40610 41354 48470 49358 52762 66526 87377 93403 103385 111481 117769 123395 131905 140563 150257 166315 174754 186806 206770 222962 235538 246790 263810 281126 300514 332630 436885 467015 557405 588845 702815 751285 765049 873770 934030 1114810 1177690 1405630 1502570 1530098 2708687 3232949 3455911 3825245 4357453 5417374 6465898 6911822 7650490 8714906 13543435 16164745 17279555 21787265 27086870 32329490 34559110 43574530 100221419 200442838 501107095 1002214190