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150226307250 = 23531914970753
BaseRepresentation
bin1000101111101000101…
…1111000100010110010
3112100202112022010001120
42023322023320202302
54430130413313000
6153002451043110
713565514354105
oct2137213704262
9470675263046
10150226307250
115878a91a138
12251465a0496
1311221417986
1473b186073c
153d938d36a0
hex22fa2f88b2

150226307250 has 128 divisors (see below), whose sum is σ = 397354464000. Its totient is φ = 37696665600.

The previous prime is 150226307221. The next prime is 150226307263. The reversal of 150226307250 is 52703622051.

150226307250 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2087874 + ... + 2158626.

It is an arithmetic number, because the mean of its divisors is an integer number (3104331750).

Almost surely, 2150226307250 is an apocalyptic number.

150226307250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 150226307250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198677232000).

150226307250 is an abundant number, since it is smaller than the sum of its proper divisors (247128156750).

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

150226307250 is a wasteful number, since it uses less digits than its factorization.

150226307250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70941 (or 70931 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The spelling of 150226307250 in words is "one hundred fifty billion, two hundred twenty-six million, three hundred seven thousand, two hundred fifty".

Divisors: 1 2 3 5 6 10 15 19 25 30 38 50 57 75 95 114 125 149 150 190 250 285 298 375 447 475 570 745 750 894 950 1425 1490 2235 2375 2831 2850 3725 4470 4750 5662 7125 7450 8493 11175 14155 14250 16986 18625 22350 28310 37250 42465 55875 70753 70775 84930 111750 141506 141550 212259 212325 353765 353875 424518 424650 707530 707750 1061295 1061625 1344307 1768825 2122590 2123250 2688614 3537650 4032921 5306475 6721535 8065842 8844125 10542197 10612950 13443070 17688250 20164605 21084394 26532375 31626591 33607675 40329210 52710985 53064750 63253182 67215350 100823025 105421970 158132955 168038375 200301743 201646050 263554925 316265910 336076750 400603486 504115125 527109850 600905229 790664775 1001508715 1008230250 1201810458 1317774625 1581329550 2003017430 2635549250 3004526145 3953323875 5007543575 6009052290 7906647750 10015087150 15022630725 25037717875 30045261450 50075435750 75113153625 150226307250