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148372224 = 28371113193
BaseRepresentation
bin10001101011111…
…11101100000000
3101100012002102120
420311333230000
5300440402344
622420044240
73451100040
oct1065775400
9340162376
10148372224
1176830280
1241833680
132497c020
14159c3720
15d05c219
hex8d7fb00

148372224 has 288 divisors, whose sum is σ = 532944384. Its totient is φ = 35389440.

The previous prime is 148372223. The next prime is 148372249. The reversal of 148372224 is 422273841.

It is a happy number.

148372224 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 (33).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148372223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 768672 + ... + 768864.

Almost surely, 2148372224 is an apocalyptic number.

148372224 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 148372224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266472192).

148372224 is an abundant number, since it is smaller than the sum of its proper divisors (384572160).

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

148372224 is a wasteful number, since it uses less digits than its factorization.

148372224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 229 counting only the distinct ones).

The product of its digits is 21504, while the sum is 33.

The square root of 148372224 is about 12180.8137659189. The cubic root of 148372224 is about 529.4003232851.

The spelling of 148372224 in words is "one hundred forty-eight million, three hundred seventy-two thousand, two hundred twenty-four".