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2248155378 = 2337217234153
BaseRepresentation
bin1000011000000000…
…0010000011110010
312210200022010102000
42012000002003302
514101011433003
61011025434430
7106466001600
oct20600020362
95720263360
102248155378
11a54030457
12528a9ba16
1329a9c2271
14174814870
15d25801a3
hex860020f2

2248155378 has 384 divisors, whose sum is σ = 6701667840. Its totient is φ = 553512960.

The previous prime is 2248155367. The next prime is 2248155383. The reversal of 2248155378 is 8735518422.

2248155378 is a `hidden beast` number, since 2 + 24 + 8 + 1 + 553 + 78 = 666.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 42418000 + ... + 42418052.

It is an arithmetic number, because the mean of its divisors is an integer number (17452260).

Almost surely, 22248155378 is an apocalyptic number.

2248155378 is the 29988-th heptagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2248155378, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3350833920).

2248155378 is an abundant number, since it is smaller than the sum of its proper divisors (4453512462).

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

2248155378 is a wasteful number, since it uses less digits than its factorization.

2248155378 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 146 counting only the distinct ones).

The product of its digits is 537600, while the sum is 45.

The square root of 2248155378 is about 47414.7168925430. The cubic root of 2248155378 is about 1310.0125045909.

The spelling of 2248155378 in words is "two billion, two hundred forty-eight million, one hundred fifty-five thousand, three hundred seventy-eight".