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145506224 = 2429557563
BaseRepresentation
bin10001010110000…
…11111110110000
3101010210111000102
420223003332300
5244222144344
622234411532
73414532253
oct1053037660
9333714012
10145506224
1175152a86
1240890ba8
13241b7676
141547909a
15cb92e4e
hex8ac3fb0

145506224 has 40 divisors (see below), whose sum is σ = 292682160. Its totient is φ = 69993728.

The previous prime is 145506209. The next prime is 145506227. The reversal of 145506224 is 422605541.

145506224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1455062242 = 42344122445476352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145506227) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 258167 + ... + 258729.

It is an arithmetic number, because the mean of its divisors is an integer number (7317054).

Almost surely, 2145506224 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 145506224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146341080).

145506224 is an abundant number, since it is smaller than the sum of its proper divisors (147175936).

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

145506224 is a wasteful number, since it uses less digits than its factorization.

145506224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1157 (or 1151 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

The square root of 145506224 is about 12062.5960721563. The cubic root of 145506224 is about 525.9694546783.

The spelling of 145506224 in words is "one hundred forty-five million, five hundred six thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 29 58 116 232 464 557 563 1114 1126 2228 2252 4456 4504 8912 9008 16153 16327 32306 32654 64612 65308 129224 130616 258448 261232 313591 627182 1254364 2508728 5017456 9094139 18188278 36376556 72753112 145506224