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234192419952 = 243293122324337
BaseRepresentation
bin1101101000011011110…
…1001011110001110000
3211101111021100120212120
43122012331023301300
512314111224414302
6255330404154240
722630335503361
oct3320675136160
9741437316776
10234192419952
1190358574407
123947a698980
1319113137a2a
14b49924bb68
15615a1819bc
hex3686f4bc70

234192419952 has 160 divisors (see below), whose sum is σ = 648971796480. Its totient is φ = 72610836480.

The previous prime is 234192419947. The next prime is 234192419959. The reversal of 234192419952 is 259914291432.

It is a junction number, because it is equal to n+sod(n) for n = 234192419895 and 234192419904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234192419959) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9610728 + ... + 9635064.

It is an arithmetic number, because the mean of its divisors is an integer number (4056073728).

Almost surely, 2234192419952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234192419952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324485898240).

234192419952 is an abundant number, since it is smaller than the sum of its proper divisors (414779376528).

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

234192419952 is a wasteful number, since it uses less digits than its factorization.

234192419952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24631 (or 24625 counting only the distinct ones).

The product of its digits is 1399680, while the sum is 51.

The spelling of 234192419952 in words is "two hundred thirty-four billion, one hundred ninety-two million, four hundred nineteen thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 31 48 58 62 87 93 116 124 174 186 223 232 248 348 372 446 464 496 669 696 744 892 899 1338 1392 1488 1784 1798 2676 2697 3568 3596 5352 5394 6467 6913 7192 10704 10788 12934 13826 14384 19401 20739 21576 24337 25868 27652 38802 41478 43152 48674 51736 55304 73011 77604 82956 97348 103472 110608 146022 155208 165912 194696 200477 292044 310416 331824 389392 400954 584088 601431 705773 754447 801908 1168176 1202862 1411546 1508894 1603816 2117319 2263341 2405724 2823092 3017788 3207632 4234638 4526682 4811448 5427151 5646184 6035576 8469276 9053364 9622896 10854302 11292368 12071152 16281453 16938552 18106728 21708604 21878963 32562906 33877104 36213456 43417208 43757926 65125812 65636889 86834416 87515852 130251624 131273778 157387379 168241681 175031704 260503248 262547556 314774758 336483362 350063408 472162137 504725043 525095112 629549516 672966724 944324274 1009450086 1050190224 1259099032 1345933448 1888648548 2018900172 2518198064 2691866896 3777297096 4037800344 4879008749 7554594192 8075600688 9758017498 14637026247 19516034996 29274052494 39032069992 58548104988 78064139984 117096209976 234192419952