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151992225 = 325271131283
BaseRepresentation
bin10010000111100…
…11011110100001
3101121000000010200
421003303132201
5302402222400
623025415413
73523625010
oct1103633641
9347000120
10151992225
1178883010
1242a9a569
1325648938
1416286a77
15d524b00
hex90f37a1

151992225 has 144 divisors (see below), whose sum is σ = 351596544. Its totient is φ = 60912000.

The previous prime is 151992209. The next prime is 151992241. The reversal of 151992225 is 522299151.

It is a happy number.

151992225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (151992209) and next prime (151992241).

It is not a de Polignac number, because 151992225 - 24 = 151992209 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 151992225.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 536934 + ... + 537216.

Almost surely, 2151992225 is an apocalyptic number.

151992225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

151992225 is an abundant number, since it is smaller than the sum of its proper divisors (199604319).

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

151992225 is a wasteful number, since it uses less digits than its factorization.

151992225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 340 counting only the distinct ones).

The product of its digits is 16200, while the sum is 36.

The square root of 151992225 is about 12328.5126840183. The cubic root of 151992225 is about 533.6712301055.

It can be divided in two parts, 15199 and 2225, that added together give a square (17424 = 1322).

The spelling of 151992225 in words is "one hundred fifty-one million, nine hundred ninety-two thousand, two hundred twenty-five".

Divisors: 1 3 5 7 9 11 15 21 25 31 33 35 45 55 63 75 77 93 99 105 155 165 175 217 225 231 275 279 283 315 341 385 465 495 525 651 693 775 825 849 1023 1085 1155 1395 1415 1575 1705 1925 1953 1981 2325 2387 2475 2547 3069 3113 3255 3465 4245 5115 5425 5775 5943 6975 7075 7161 8525 8773 9339 9765 9905 11935 12735 15345 15565 16275 17325 17829 21225 21483 21791 25575 26319 28017 29715 35805 43865 46695 48825 49525 59675 61411 63675 65373 76725 77825 78957 89145 96503 107415 108955 131595 140085 148575 179025 184233 196119 219325 233475 289509 307055 326865 394785 445725 482515 537075 544775 552699 657975 675521 700425 868527 921165 980595 1447545 1535275 1634325 1973925 2026563 2412575 2763495 3377605 4342635 4605825 4902975 6079689 7237725 10132815 13817475 16888025 21713175 30398445 50664075 151992225