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2190421968 = 243729224797
BaseRepresentation
bin1000001010001111…
…0010111111010000
312122122122222001120
42002203302333100
513441222000333
61001204202240
7105165164610
oct20243627720
95578588046
102190421968
11a24488499
12511699380
1328ba59b97
1416aca6a40
15cc478db3
hex828f2fd0

2190421968 has 80 divisors (see below), whose sum is σ = 6689988480. Its totient is φ = 604251648.

The previous prime is 2190421957. The next prime is 2190422009. The reversal of 2190421968 is 8691240912.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102655 + ... + 122142.

It is an arithmetic number, because the mean of its divisors is an integer number (83624856).

Almost surely, 22190421968 is an apocalyptic number.

2190421968 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2190421968 is an abundant number, since it is smaller than the sum of its proper divisors (4499566512).

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

2190421968 is a wasteful number, since it uses less digits than its factorization.

2190421968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224844 (or 224838 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The square root of 2190421968 is about 46801.9440621861. The cubic root of 2190421968 is about 1298.7012607433.

The spelling of 2190421968 in words is "two billion, one hundred ninety million, four hundred twenty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 42 48 56 58 84 87 112 116 168 174 203 232 336 348 406 464 609 696 812 1218 1392 1624 2436 3248 4872 9744 224797 449594 674391 899188 1348782 1573579 1798376 2697564 3147158 3596752 4720737 5395128 6294316 6519113 9441474 10790256 12588632 13038226 18882948 19557339 25177264 26076452 37765896 39114678 45633791 52152904 75531792 78229356 91267582 104305808 136901373 156458712 182535164 273802746 312917424 365070328 547605492 730140656 1095210984 2190421968