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2200234542 = 23111910916097
BaseRepresentation
bin1000001100100100…
…1110101000101110
312200100010111101020
42003021032220232
514001230001132
61002154355010
7105344453652
oct20311165056
95610114336
102200234542
11a29a7a860
12514a2ba66
13290ab433c
1416c2dca62
15cd26652c
hex8324ea2e

2200234542 has 64 divisors (see below), whose sum is σ = 5099846400. Its totient is φ = 625812480.

The previous prime is 2200234529. The next prime is 2200234567. The reversal of 2200234542 is 2454320022.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128638 + ... + 144734.

It is an arithmetic number, because the mean of its divisors is an integer number (79685100).

Almost surely, 22200234542 is an apocalyptic number.

2200234542 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2200234542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2549923200).

2200234542 is an abundant number, since it is smaller than the sum of its proper divisors (2899611858).

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

2200234542 is a wasteful number, since it uses less digits than its factorization.

2200234542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16241.

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 2200234542 is about 46906.6577577213. The cubic root of 2200234542 is about 1300.6376638937.

Adding to 2200234542 its reverse (2454320022), we get a palindrome (4654554564).

The spelling of 2200234542 in words is "two billion, two hundred million, two hundred thirty-four thousand, five hundred forty-two".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 109 114 209 218 327 418 627 654 1199 1254 2071 2398 3597 4142 6213 7194 12426 16097 22781 32194 45562 48291 68343 96582 136686 177067 305843 354134 531201 611686 917529 1062402 1754573 1835058 3364273 3509146 5263719 6728546 10092819 10527438 19300303 20185638 33336887 38600606 57900909 66673774 100010661 115801818 200021322 366705757 733411514 1100117271 2200234542