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145722224560 = 24511179925103
BaseRepresentation
bin1000011110110110111…
…0001010111110110000
3111221010122002000011011
42013231232022332300
54341414342141220
6150535513000304
713346063320513
oct2075556127660
9457118060134
10145722224560
1156889440150
12242aa0b3094
1310984241aa3
1470a55b0d7a
153bcd28a65a
hex21edb8afb0

145722224560 has 80 divisors (see below), whose sum is σ = 371669783040. Its totient is φ = 52693809920.

The previous prime is 145722224513. The next prime is 145722224563. The reversal of 145722224560 is 65422227541.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (145722224563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 305032 + ... + 620071.

It is an arithmetic number, because the mean of its divisors is an integer number (4645872288).

Almost surely, 2145722224560 is an apocalyptic number.

145722224560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145722224560 is an abundant number, since it is smaller than the sum of its proper divisors (225947558480).

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

145722224560 is a wasteful number, since it uses less digits than its factorization.

145722224560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 925306 (or 925300 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 40.

The spelling of 145722224560 in words is "one hundred forty-five billion, seven hundred twenty-two million, two hundred twenty-four thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 179 220 358 440 716 880 895 1432 1790 1969 2864 3580 3938 7160 7876 9845 14320 15752 19690 31504 39380 78760 157520 925103 1850206 3700412 4625515 7400824 9251030 10176133 14801648 18502060 20352266 37004120 40704532 50880665 74008240 81409064 101761330 162818128 165593437 203522660 331186874 407045320 662373748 814090640 827967185 1324747496 1655934370 1821527807 2649494992 3311868740 3643055614 6623737480 7286111228 9107639035 13247474960 14572222456 18215278070 29144444912 36430556140 72861112280 145722224560