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2152083348 = 2232179337991
BaseRepresentation
bin1000000001000110…
…0010111110010100
312112222112011100200
42000101202332110
513401413131343
6553314340500
7104221256322
oct20021427624
95488464320
102152083348
11a04882088
1250088a730
13283b255cc
14165b66d12
15c8e044d3
hex80462f94

2152083348 has 72 divisors (see below), whose sum is σ = 5492148480. Its totient is φ = 710519040.

The previous prime is 2152083347. The next prime is 2152083361. The reversal of 2152083348 is 8433802512.

2152083348 is a `hidden beast` number, since 21 + 520 + 83 + 34 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2152083347) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2171133 + ... + 2172123.

It is an arithmetic number, because the mean of its divisors is an integer number (76279840).

Almost surely, 22152083348 is an apocalyptic number.

It is an amenable number.

2152083348 is an abundant number, since it is smaller than the sum of its proper divisors (3340065132).

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

2152083348 is a wasteful number, since it uses less digits than its factorization.

2152083348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1517 (or 1512 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2152083348 is about 46390.5523571341. The cubic root of 2152083348 is about 1291.0796298034.

The spelling of 2152083348 in words is "two billion, one hundred fifty-two million, eighty-three thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 179 337 358 537 674 716 991 1011 1074 1348 1611 1982 2022 2148 2973 3033 3222 3964 4044 5946 6066 6444 8919 11892 12132 17838 35676 60323 120646 177389 180969 241292 333967 354778 361938 532167 542907 667934 709556 723876 1001901 1064334 1085814 1335868 1596501 2003802 2128668 2171628 3005703 3193002 4007604 6011406 6386004 12022812 59780093 119560186 179340279 239120372 358680558 538020837 717361116 1076041674 2152083348