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145220700 = 223521094441
BaseRepresentation
bin10001010011111…
…10010001011100
3101010020222100110
420221332101130
5244134030300
622224330020
73412232652
oct1051762134
9333228313
10145220700
1174a78509
1240773910
1324117711
1415402dd2
15cb38550
hex8a7e45c

145220700 has 72 divisors (see below), whose sum is σ = 424122160. Its totient is φ = 38361600.

The previous prime is 145220683. The next prime is 145220711. The reversal of 145220700 is 7022541.

145220700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 30480 + ... + 34920.

Almost surely, 2145220700 is an apocalyptic number.

145220700 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 145220700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212061080).

145220700 is an abundant number, since it is smaller than the sum of its proper divisors (278901460).

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

145220700 is a wasteful number, since it uses less digits than its factorization.

145220700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4567 (or 4560 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 145220700 is about 12050.7551630593. The cubic root of 145220700 is about 525.6251962326.

The spelling of 145220700 in words is "one hundred forty-five million, two hundred twenty thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 109 150 218 300 327 436 545 654 1090 1308 1635 2180 2725 3270 4441 5450 6540 8175 8882 10900 13323 16350 17764 22205 26646 32700 44410 53292 66615 88820 111025 133230 222050 266460 333075 444100 484069 666150 968138 1332300 1452207 1936276 2420345 2904414 4840690 5808828 7261035 9681380 12101725 14522070 24203450 29044140 36305175 48406900 72610350 145220700