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152501220 = 2232517194361
BaseRepresentation
bin10010001011011…
…11101111100100
3101121221212100100
421011233233210
5303020014340
623044344100
73531144654
oct1105575744
9347855310
10152501220
11790a0473
12430a5030
1325796511
141637a364
15d5c5830
hex916fbe4

152501220 has 288 divisors, whose sum is σ = 536215680. Its totient is φ = 34836480.

The previous prime is 152501191. The next prime is 152501231. The reversal of 152501220 is 22105251.

152501220 = T245 + T246 + ... + T975.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 152501193 and 152501202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2499990 + ... + 2500050.

It is an arithmetic number, because the mean of its divisors is an integer number (1861860).

Almost surely, 2152501220 is an apocalyptic number.

152501220 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 152501220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268107840).

152501220 is an abundant number, since it is smaller than the sum of its proper divisors (383714460).

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

152501220 is a wasteful number, since it uses less digits than its factorization.

152501220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 152501220 is about 12349.1384314858. The cubic root of 152501220 is about 534.2662897769.

Adding to 152501220 its reverse (22105251), we get a palindrome (174606471).

The spelling of 152501220 in words is "one hundred fifty-two million, five hundred one thousand, two hundred twenty".