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25142220 = 22325236073
BaseRepresentation
bin101111111101…
…0001111001100
31202022100122100
41133322033030
522414022340
62254515100
7423463635
oct137721714
952270570
1025142220
11132127a4
128505a90
135293b6c
1434a688c
152319830
hex17fa3cc

25142220 has 72 divisors (see below), whose sum is σ = 79593696. Its totient is φ = 6412032.

The previous prime is 25142213. The next prime is 25142239. The reversal of 25142220 is 2224152.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 25142193 and 25142202.

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, 1104 + ... + 7176.

It is an arithmetic number, because the mean of its divisors is an integer number (1105468).

Almost surely, 225142220 is an apocalyptic number.

25142220 is a gapful number since it is divisible by the number (20) 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 25142220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39796848).

25142220 is an abundant number, since it is smaller than the sum of its proper divisors (54451476).

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

25142220 is a wasteful number, since it uses less digits than its factorization.

25142220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6111 (or 6106 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 25142220 is about 5014.2018308002. The cubic root of 25142220 is about 292.9551974424.

Adding to 25142220 its reverse (2224152), we get a palindrome (27366372).

The spelling of 25142220 in words is "twenty-five million, one hundred forty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 230 276 345 414 460 690 828 1035 1380 2070 4140 6073 12146 18219 24292 30365 36438 54657 60730 72876 91095 109314 121460 139679 182190 218628 273285 279358 364380 419037 546570 558716 698395 838074 1093140 1257111 1396790 1676148 2095185 2514222 2793580 4190370 5028444 6285555 8380740 12571110 25142220