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23214802580970 = 2357112131743127757
BaseRepresentation
bin1010100011101000111100…
…00011111011010111101010
310001012022110111200111021220
411101310132003323113222
511020322403430042340
6121212422202242510
74614133310054520
oct521643603732752
9101168414614256
1023214802580970
117440384937100
12272b2264b6436
13cc51b9ab9550
145a386114a310
152a3d0c368ed0
hex151d1e0fb5ea

23214802580970 has 1536 divisors, whose sum is σ = 82415048196096. Its totient is φ = 4055802347520.

The previous prime is 23214802580969. The next prime is 23214802581011. The reversal of 23214802580970 is 7908520841232.

It is a super-2 number, since 2×232148025809702 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 30666845832 + ... + 30666846588.

It is an arithmetic number, because the mean of its divisors is an integer number (53655630336).

Almost surely, 223214802580970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23214802580970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41207524098048).

23214802580970 is an abundant number, since it is smaller than the sum of its proper divisors (59200245615126).

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

23214802580970 is a wasteful number, since it uses less digits than its factorization.

23214802580970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 996 (or 985 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

The spelling of 23214802580970 in words is "twenty-three trillion, two hundred fourteen billion, eight hundred two million, five hundred eighty thousand, nine hundred seventy".