Search a number
-
+
345221225100 = 223352127859713
BaseRepresentation
bin1010000011000001100…
…10011101101010001100
31020000002001122021121000
411001200302131222030
521124003113200400
6422331544540300
733640621665633
oct5014062355214
91200061567530
10345221225100
11123453422004
1256aa5a81690
1326728818c7b
14129ccd1a51a
158ea774a600
hex5060c9da8c

345221225100 has 72 divisors (see below), whose sum is σ = 1109822317520. Its totient is φ = 92058992640.

The previous prime is 345221225093. The next prime is 345221225119. The reversal of 345221225100 is 1522122543.

345221225100 is a `hidden beast` number, since 3 + 4 + 5 + 22 + 122 + 510 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 63927157 + ... + 63932556.

Almost surely, 2345221225100 is an apocalyptic number.

345221225100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

345221225100 is an abundant number, since it is smaller than the sum of its proper divisors (764601092420).

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

345221225100 is a wasteful number, since it uses less digits than its factorization.

345221225100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127859736 (or 127859723 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 345221225100 its reverse (1522122543), we get a palindrome (346743347643).

The spelling of 345221225100 in words is "three hundred forty-five billion, two hundred twenty-one million, two hundred twenty-five thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 300 450 540 675 900 1350 2700 127859713 255719426 383579139 511438852 639298565 767158278 1150737417 1278597130 1534316556 1917895695 2301474834 2557194260 3196492825 3452212251 3835791390 4602949668 5753687085 6392985650 6904424502 7671582780 9589478475 11507374170 12785971300 13808849004 17261061255 19178956950 23014748340 28768435425 34522122510 38357913900 57536870850 69044245020 86305306275 115073741700 172610612550 345221225100