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172229040 = 243251714071
BaseRepresentation
bin10100100010000…
…00000110110000
3110000002010211100
422101000012300
5323042312130
625031244400
74160631324
oct1221000660
9400063740
10172229040
1189245255
1249819700
13298b2a99
1418c33984
15101c0c60
hexa4401b0

172229040 has 120 divisors (see below), whose sum is σ = 612469728. Its totient is φ = 43223040.

The previous prime is 172229039. The next prime is 172229041. The reversal of 172229040 is 40922271.

It is an interprime number because it is at equal distance from previous prime (172229039) and next prime (172229041).

It is a tau number, because it is divible by the number of its divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 172228995 and 172229013.

It is not an unprimeable number, because it can be changed into a prime (172229041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5205 + ... + 19275.

Almost surely, 2172229040 is an apocalyptic number.

172229040 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 172229040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306234864).

172229040 is an abundant number, since it is smaller than the sum of its proper divisors (440240688).

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

172229040 is a wasteful number, since it uses less digits than its factorization.

172229040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14107 (or 14098 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 172229040 is about 13123.6062117087. The cubic root of 172229040 is about 556.3765198047.

It can be divided in two parts, 17222 and 9040, that added together give a palindrome (26262).

The spelling of 172229040 in words is "one hundred seventy-two million, two hundred twenty-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 30 34 36 40 45 48 51 60 68 72 80 85 90 102 120 136 144 153 170 180 204 240 255 272 306 340 360 408 510 612 680 720 765 816 1020 1224 1360 1530 2040 2448 3060 4080 6120 12240 14071 28142 42213 56284 70355 84426 112568 126639 140710 168852 211065 225136 239207 253278 281420 337704 422130 478414 506556 562840 633195 675408 717621 844260 956828 1013112 1125680 1196035 1266390 1435242 1688520 1913656 2026224 2152863 2392070 2532780 2870484 3377040 3588105 3827312 4305726 4784140 5065560 5740968 7176210 8611452 9568280 10131120 10764315 11481936 14352420 17222904 19136560 21528630 28704840 34445808 43057260 57409680 86114520 172229040