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2284054137400 = 2352710116153141
BaseRepresentation
bin100001001111001100001…
…111000100101000111000
322002100112122211010110111
4201033030033010220320
5244410220324344100
64505140250554104
7324005663556160
oct41171417045070
98070478733414
102284054137400
11800731019542
1230a7b9138934
131375018b3409
147c797d135a0
153e6307db6ba
hex213cc3c4a38

2284054137400 has 96 divisors (see below), whose sum is σ = 6129148200480. Its totient is φ = 775350720000.

The previous prime is 2284054137367. The next prime is 2284054137433. The reversal of 2284054137400 is 47314504822.

It is an interprime number because it is at equal distance from previous prime (2284054137367) and next prime (2284054137433).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7935171 + ... + 8217970.

It is an arithmetic number, because the mean of its divisors is an integer number (63845293755).

Almost surely, 22284054137400 is an apocalyptic number.

2284054137400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2284054137400 is an abundant number, since it is smaller than the sum of its proper divisors (3845094063080).

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

2284054137400 is a wasteful number, since it uses less digits than its factorization.

2284054137400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16153265 (or 16153256 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 40.

The spelling of 2284054137400 in words is "two trillion, two hundred eighty-four billion, fifty-four million, one hundred thirty-seven thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 101 140 175 200 202 280 350 404 505 700 707 808 1010 1400 1414 2020 2525 2828 3535 4040 5050 5656 7070 10100 14140 17675 20200 28280 35350 70700 141400 16153141 32306282 64612564 80765705 113071987 129225128 161531410 226143974 323062820 403828525 452287948 565359935 646125640 807657050 904575896 1130719870 1615314100 1631467241 2261439740 2826799675 3230628200 3262934482 4522879480 5653599350 6525868964 8157336205 11307198700 11420270687 13051737928 16314672410 22614397400 22840541374 32629344820 40786681025 45681082748 57101353435 65258689640 81573362050 91362165496 114202706870 163146724100 228405413740 285506767175 326293448200 456810827480 571013534350 1142027068700 2284054137400