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146892060225 = 36521721672
BaseRepresentation
bin1000100011001101110…
…0101111011001000001
3112001011011022211000000
42020303130233121001
54401313331411400
6151251542350213
713420056624231
oct2106334573101
9461134284000
10146892060225
1157329813a89
1224575a2b369
1310b0c704541
147176acbcc1
153c4ad18600
hex223372f641

146892060225 has 189 divisors, whose sum is σ = 291851186617. Its totient is φ = 73292532480.

The previous prime is 146892060187. The next prime is 146892060233. The reversal of 146892060225 is 522060298641.

The square root of 146892060225 is 383265.

It is a perfect power (a square), and thus also a powerful number.

146892060225 is a `hidden beast` number, since 14 + 6 + 8 + 9 + 2 + 0 + 602 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3435952689 + 143456107536 = 58617^2 + 378756^2 .

It is not a de Polignac number, because 146892060225 - 27 = 146892060097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 879593092 + ... + 879593258.

Almost surely, 2146892060225 is an apocalyptic number.

146892060225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

146892060225 is the 383265-th square number.

146892060225 is the 191633-rd centered octagonal number.

It is an amenable number.

146892060225 is a deficient number, since it is larger than the sum of its proper divisors (144959126392).

146892060225 is an frugal number, since it uses more digits than its factorization.

146892060225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 146892060225 in words is "one hundred forty-six billion, eight hundred ninety-two million, sixty thousand, two hundred twenty-five".