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172246440 = 23351997213
BaseRepresentation
bin10100100010001…
…00010110101000
3110000010000200210
422101010112220
5323043341230
625031501120
74161033132
oct1221042650
9400100623
10172246440
1189257333
12498277a0
13298ba992
1418c3a052
15101c5eb0
hexa4445a8

172246440 has 64 divisors (see below), whose sum is σ = 519408000. Its totient is φ = 45695232.

The previous prime is 172246423. The next prime is 172246441. The reversal of 172246440 is 44642271.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 172246398 and 172246407.

It is not an unprimeable number, because it can be changed into a prime (172246441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20274 + ... + 27486.

It is an arithmetic number, because the mean of its divisors is an integer number (8115750).

Almost surely, 2172246440 is an apocalyptic number.

172246440 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 172246440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259704000).

172246440 is an abundant number, since it is smaller than the sum of its proper divisors (347161560).

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

172246440 is a wasteful number, since it uses less digits than its factorization.

172246440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7426 (or 7422 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 172246440 is about 13124.2691225074. The cubic root of 172246440 is about 556.3952557574.

The spelling of 172246440 in words is "one hundred seventy-two million, two hundred forty-six thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 199 398 597 796 995 1194 1592 1990 2388 2985 3980 4776 5970 7213 7960 11940 14426 21639 23880 28852 36065 43278 57704 72130 86556 108195 144260 173112 216390 288520 432780 865560 1435387 2870774 4306161 5741548 7176935 8612322 11483096 14353870 17224644 21530805 28707740 34449288 43061610 57415480 86123220 172246440