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151223440 = 24537471087
BaseRepresentation
bin10010000001101…
…11110010010000
3101112112221120011
421000313302100
5302203122230
623001124304
73514243444
oct1100676220
9345487504
10151223440
11783a8455
1242789694
1325439a34
1416126824
15d421e2a
hex9037c90

151223440 has 80 divisors (see below), whose sum is σ = 369119232. Its totient is φ = 57549312.

The previous prime is 151223417. The next prime is 151223491. The reversal of 151223440 is 44322151.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138577 + ... + 139663.

Almost surely, 2151223440 is an apocalyptic number.

151223440 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 151223440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184559616).

151223440 is an abundant number, since it is smaller than the sum of its proper divisors (217895792).

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

151223440 is a wasteful number, since it uses less digits than its factorization.

151223440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1184 (or 1178 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 151223440 is about 12297.2940112856. The cubic root of 151223440 is about 532.7699293450.

Adding to 151223440 its reverse (44322151), we get a palindrome (195545591).

The spelling of 151223440 in words is "one hundred fifty-one million, two hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 37 40 47 74 80 94 148 185 188 235 296 370 376 470 592 740 752 940 1087 1480 1739 1880 2174 2960 3478 3760 4348 5435 6956 8695 8696 10870 13912 17390 17392 21740 27824 34780 40219 43480 51089 69560 80438 86960 102178 139120 160876 201095 204356 255445 321752 402190 408712 510890 643504 804380 817424 1021780 1608760 1890293 2043560 3217520 3780586 4087120 7561172 9451465 15122344 18902930 30244688 37805860 75611720 151223440