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150752224 = 2572791217
BaseRepresentation
bin10001111110001…
…00101111100000
3101111200000011201
420333010233200
5302043032344
622543050544
73510241600
oct1077045740
9344600151
10150752224
1178106417
12425a0a54
13253033cc
1416042c00
15d37c4d4
hex8fc4be0

150752224 has 72 divisors (see below), whose sum is σ = 349907040. Its totient is φ = 63737856.

The previous prime is 150752219. The next prime is 150752249. The reversal of 150752224 is 422257051.

150752224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 150752192 and 150752201.

It is a congruent number.

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, 123264 + ... + 124480.

It is an arithmetic number, because the mean of its divisors is an integer number (4859820).

Almost surely, 2150752224 is an apocalyptic number.

150752224 is a gapful number since it is divisible by the number (14) 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 150752224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174953520).

150752224 is an abundant number, since it is smaller than the sum of its proper divisors (199154816).

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

150752224 is a wasteful number, since it uses less digits than its factorization.

150752224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1320 (or 1305 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 28.

The square root of 150752224 is about 12278.1197257561. The cubic root of 150752224 is about 532.2159787881.

The spelling of 150752224 in words is "one hundred fifty million, seven hundred fifty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 79 98 112 158 196 224 316 392 553 632 784 1106 1217 1264 1568 2212 2434 2528 3871 4424 4868 7742 8519 8848 9736 15484 17038 17696 19472 30968 34076 38944 59633 61936 68152 96143 119266 123872 136304 192286 238532 272608 384572 477064 673001 769144 954128 1346002 1538288 1908256 2692004 3076576 4711007 5384008 9422014 10768016 18844028 21536032 37688056 75376112 150752224