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1922745006 = 233721355897
BaseRepresentation
bin111001010011010…
…1100001010101110
311221222222120022000
41302212230022232
512414210320011
6514443033130
765435030400
oct16246541256
94858876260
101922745006
118a7380866
12457b0b7a6
13248468550
14143508b70
15b3c02356
hex729ac2ae

1922745006 has 96 divisors (see below), whose sum is σ = 5352792480. Its totient is φ = 507088512.

The previous prime is 1922744987. The next prime is 1922745017. The reversal of 1922745006 is 6005472291.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6450 + ... + 62346.

It is an arithmetic number, because the mean of its divisors is an integer number (55758255).

Almost surely, 21922745006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1922745006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2676396240).

1922745006 is an abundant number, since it is smaller than the sum of its proper divisors (3430047474).

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

1922745006 is a wasteful number, since it uses less digits than its factorization.

1922745006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55935 (or 55922 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 1922745006 is about 43849.1163650991. The cubic root of 1922745006 is about 1243.4850378197.

The spelling of 1922745006 in words is "one billion, nine hundred twenty-two million, seven hundred forty-five thousand, six".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 49 54 63 78 91 98 117 126 147 182 189 234 273 294 351 378 441 546 637 702 819 882 1274 1323 1638 1911 2457 2646 3822 4914 5733 11466 17199 34398 55897 111794 167691 335382 391279 503073 726661 782558 1006146 1173837 1453322 1509219 2179983 2347674 2738953 3018438 3521511 4359966 5086627 5477906 6539949 7043022 8216859 10173254 10564533 13079898 15259881 16433718 19619847 21129066 24650577 30519762 35606389 39239694 45779643 49301154 71212778 73951731 91559286 106819167 137338929 147903462 213638334 274677858 320457501 640915002 961372503 1922745006