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152030304200 = 23524119739397
BaseRepresentation
bin1000110110010110110…
…1100101011111001000
3112112102020211122122102
42031211231211133020
54442324224213300
6153501453012532
713661311156325
oct2154555453710
9475366748572
10152030304200
1159526163805
122556a784148
131144b0a70a8
147503297b4c
153e4be7b0d5
hex2365b657c8

152030304200 has 96 divisors (see below), whose sum is σ = 362313763560. Its totient is φ = 59292518400.

The previous prime is 152030304199. The next prime is 152030304229. The reversal of 152030304200 is 2403030251.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 40058421316 + 111971882884 = 200146^2 + 334622^2 .

It is a super-2 number, since 2×1520303042002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16173902 + ... + 16183298.

Almost surely, 2152030304200 is an apocalyptic number.

152030304200 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 152030304200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181156881780).

152030304200 is an abundant number, since it is smaller than the sum of its proper divisors (210283459360).

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

152030304200 is a wasteful number, since it uses less digits than its factorization.

152030304200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11427 (or 11418 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

Adding to 152030304200 its reverse (2403030251), we get a palindrome (154433334451).

The spelling of 152030304200 in words is "one hundred fifty-two billion, thirty million, three hundred four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 164 200 205 328 410 820 1025 1640 1973 2050 3946 4100 7892 8200 9397 9865 15784 18794 19730 37588 39460 46985 49325 75176 78920 80893 93970 98650 161786 187940 197300 234925 323572 375880 385277 394600 404465 469850 647144 770554 808930 939700 1541108 1617860 1879400 1926385 2022325 3082216 3235720 3852770 4044650 7705540 8089300 9631925 15411080 16178600 18540281 19263850 37080562 38527700 74161124 77055400 92701405 148322248 185402810 370805620 463507025 741611240 760151521 927014050 1520303042 1854028100 3040606084 3708056200 3800757605 6081212168 7601515210 15203030420 19003788025 30406060840 38007576050 76015152100 152030304200