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147007224 = 2336713277
BaseRepresentation
bin10001100001100…
…10011011111000
3101020121202000000
420300302123320
5300113212344
622330513000
73433353330
oct1060623370
9336552000
10147007224
1175a88781
1241295760
13245c1930
141574a0c0
15cd8ca69
hex8c326f8

147007224 has 224 divisors, whose sum is σ = 510474720. Its totient is φ = 38631168.

The previous prime is 147007187. The next prime is 147007241. The reversal of 147007224 is 422700741.

It is a happy number.

It is a super-2 number, since 2×1470072242 = 43222247816372352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 530574 + ... + 530850.

It is an arithmetic number, because the mean of its divisors is an integer number (2278905).

Almost surely, 2147007224 is an apocalyptic number.

147007224 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 147007224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255237360).

147007224 is an abundant number, since it is smaller than the sum of its proper divisors (363467496).

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

147007224 is a wasteful number, since it uses less digits than its factorization.

147007224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 147007224 is about 12124.6535620611. The cubic root of 147007224 is about 527.7718539128.

Adding to 147007224 its reverse (422700741), we get a palindrome (569707965).

The spelling of 147007224 in words is "one hundred forty-seven million, seven thousand, two hundred twenty-four".