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157230016 = 2619314397
BaseRepresentation
bin10010101111100…
…10001111000000
3101221212010000221
421113302033000
5310222330031
623333552424
73616301356
oct1127621700
9357763027
10157230016
1180830269
12447a5714
1326760a18
1416c4b7d6
15dc0ba11
hex95f23c0

157230016 has 112 divisors (see below), whose sum is σ = 350479360. Its totient is φ = 69672960.

The previous prime is 157230011. The next prime is 157230023. The reversal of 157230016 is 610032751.

157230016 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157230011) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1620880 + ... + 1620976.

It is an arithmetic number, because the mean of its divisors is an integer number (3129280).

Almost surely, 2157230016 is an apocalyptic number.

157230016 is a gapful number since it is divisible by the number (16) 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 157230016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175239680).

157230016 is an abundant number, since it is smaller than the sum of its proper divisors (193249344).

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

157230016 is a wasteful number, since it uses less digits than its factorization.

157230016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 157230016 is about 12539.1393644062. The cubic root of 157230016 is about 539.7323959852.

Adding to 157230016 its reverse (610032751), we get a palindrome (767262767).

The spelling of 157230016 in words is "one hundred fifty-seven million, two hundred thirty thousand, sixteen".

Divisors: 1 2 4 8 16 19 31 32 38 43 62 64 76 86 97 124 152 172 194 248 304 344 388 496 589 608 688 776 817 992 1178 1216 1333 1376 1552 1634 1843 1984 2356 2666 2752 3007 3104 3268 3686 4171 4712 5332 6014 6208 6536 7372 8342 9424 10664 12028 13072 14744 16684 18848 21328 24056 25327 26144 29488 33368 37696 42656 48112 50654 52288 57133 58976 66736 79249 85312 96224 101308 114266 117952 129301 133472 158498 192448 202616 228532 258602 266944 316996 405232 457064 517204 633992 810464 914128 1034408 1267984 1620928 1828256 2068816 2456719 2535968 3656512 4137632 4913438 5071936 8275264 9826876 19653752 39307504 78615008 157230016