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145422472 = 23132293709
BaseRepresentation
bin10001010101011…
…11100010001000
3101010122020010111
420222233202020
5244212004342
622232524104
73414033136
oct1052574210
9333566114
10145422472
11750a6068
1240850634
1324188500
1415456756
15cb78217
hex8aaf888

145422472 has 48 divisors (see below), whose sum is σ = 305518500. Its totient is φ = 64786176.

The previous prime is 145422463. The next prime is 145422481. The reversal of 145422472 is 274224541.

It is an interprime number because it is at equal distance from previous prime (145422463) and next prime (145422481).

It can be written as a sum of positive squares in 6 ways, for example, as 11464996 + 133957476 = 3386^2 + 11574^2 .

It is a super-2 number, since 2×1454224722 = 42295390725181568, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37354 + ... + 41062.

Almost surely, 2145422472 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 145422472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152759250).

145422472 is an abundant number, since it is smaller than the sum of its proper divisors (160096028).

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

145422472 is a wasteful number, since it uses less digits than its factorization.

145422472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3770 (or 3753 counting only the distinct ones).

The product of its digits is 17920, while the sum is 31.

The square root of 145422472 is about 12059.1240146206. The cubic root of 145422472 is about 525.8685209701.

The spelling of 145422472 in words is "one hundred forty-five million, four hundred twenty-two thousand, four hundred seventy-two".

Divisors: 1 2 4 8 13 26 29 52 58 104 116 169 232 338 377 676 754 1352 1508 3016 3709 4901 7418 9802 14836 19604 29672 39208 48217 96434 107561 192868 215122 385736 430244 626821 860488 1253642 1398293 2507284 2796586 5014568 5593172 11186344 18177809 36355618 72711236 145422472