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172229328 = 2434132893
BaseRepresentation
bin10100100010000…
…00001011010000
3110000002011020000
422101000023100
5323042314303
625031250000
74160632215
oct1221001320
9400064200
10172229328
1189245497
1249819900
13298b2c5b
1418c33b0c
15101c0da3
hexa4402d0

172229328 has 50 divisors (see below), whose sum is σ = 498485394. Its totient is φ = 57409344.

The previous prime is 172229327. The next prime is 172229377. The reversal of 172229328 is 823922271.

It can be written as a sum of positive squares in only one way, i.e., 169833024 + 2396304 = 13032^2 + 1548^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 172229292 and 172229301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172229327) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 65151 + ... + 67742.

Almost surely, 2172229328 is an apocalyptic number.

172229328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

172229328 is an abundant number, since it is smaller than the sum of its proper divisors (326256066).

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

172229328 is a wasteful number, since it uses less digits than its factorization.

172229328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132913 (or 132898 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 172229328 is about 13123.6171842979. The cubic root of 172229328 is about 556.3768299272.

The spelling of 172229328 in words is "one hundred seventy-two million, two hundred twenty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 132893 265786 398679 531572 797358 1063144 1196037 1594716 2126288 2392074 3189432 3588111 4784148 6378864 7176222 9568296 10764333 14352444 19136592 21528666 28704888 43057332 57409776 86114664 172229328