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145222728 = 23374631867
BaseRepresentation
bin10001010011111…
…10110001001000
3101010021002010120
420221332301020
5244134111403
622224343240
73412241610
oct1051766110
9333232116
10145222728
1174a79a92
1240774b20
1324118611
1415403a40
15cb38e53
hex8a7ec48

145222728 has 64 divisors (see below), whose sum is σ = 416040960. Its totient is φ = 41380416.

The previous prime is 145222717. The next prime is 145222751. The reversal of 145222728 is 827222541.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76851 + ... + 78717.

It is an arithmetic number, because the mean of its divisors is an integer number (6500640).

Almost surely, 2145222728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145222728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208020480).

145222728 is an abundant number, since it is smaller than the sum of its proper divisors (270818232).

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

145222728 is a wasteful number, since it uses less digits than its factorization.

145222728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2346 (or 2342 counting only the distinct ones).

The product of its digits is 17920, while the sum is 33.

The square root of 145222728 is about 12050.8393068699. The cubic root of 145222728 is about 525.6276429980.

The spelling of 145222728 in words is "one hundred forty-five million, two hundred twenty-two thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 463 926 1389 1852 1867 2778 3241 3704 3734 5556 5601 6482 7468 9723 11112 11202 12964 13069 14936 19446 22404 25928 26138 38892 39207 44808 52276 77784 78414 104552 156828 313656 864421 1728842 2593263 3457684 5186526 6050947 6915368 10373052 12101894 18152841 20746104 24203788 36305682 48407576 72611364 145222728