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172216120 = 235172511009
BaseRepresentation
bin10100100001111…
…00111100111000
3110000001111002211
422100330330320
5323041403440
625031104504
74160545546
oct1220747470
9400044084
10172216120
118923657a
1249812134
13298a9c3b
1418c2cd96
15101bbeea
hexa43cf38

172216120 has 64 divisors (see below), whose sum is σ = 412322400. Its totient is φ = 64512000.

The previous prime is 172216087. The next prime is 172216139. The reversal of 172216120 is 21612271.

It is a happy number.

172216120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 172216091 and 172216100.

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, 170176 + ... + 171184.

Almost surely, 2172216120 is an apocalyptic number.

172216120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 172216120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206161200).

172216120 is an abundant number, since it is smaller than the sum of its proper divisors (240106280).

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

172216120 is a wasteful number, since it uses less digits than its factorization.

172216120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1288 (or 1284 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 22.

The square root of 172216120 is about 13123.1139597277. The cubic root of 172216120 is about 556.3626070050.

Adding to 172216120 its reverse (21612271), we get a palindrome (193828391).

The spelling of 172216120 in words is "one hundred seventy-two million, two hundred sixteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 251 340 502 680 1004 1009 1255 2008 2018 2510 4036 4267 5020 5045 8072 8534 10040 10090 17068 17153 20180 21335 34136 34306 40360 42670 68612 85340 85765 137224 170680 171530 253259 343060 506518 686120 1013036 1266295 2026072 2532590 4305403 5065180 8610806 10130360 17221612 21527015 34443224 43054030 86108060 172216120