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4225074940 = 2251731267193
BaseRepresentation
bin1111101111010101…
…1000011011111100
3101220110020001020001
43323311120123330
532123104344230
61535130004044
7206462354512
oct37365303374
911813201201
104225074940
111878a43379
1299ab76624
13524448058
142c11c24b2
1519add40ca
hexfbd586fc

4225074940 has 144 divisors (see below), whose sum is σ = 9903339936. Its totient is φ = 1508474880.

The previous prime is 4225074929. The next prime is 4225074941. The reversal of 4225074940 is 494705224.

It is a self number, because there is not a number n which added to its sum of digits gives 4225074940.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4225074941) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21891484 + ... + 21891676.

It is an arithmetic number, because the mean of its divisors is an integer number (68773194).

Almost surely, 24225074940 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 4225074940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4951669968).

4225074940 is an abundant number, since it is smaller than the sum of its proper divisors (5678264996).

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

4225074940 is a wasteful number, since it uses less digits than its factorization.

4225074940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 37.

The square root of 4225074940 is about 65000.5764589823. The cubic root of 4225074940 is about 1616.6331206889.

The spelling of 4225074940 in words is "four billion, two hundred twenty-five million, seventy-four thousand, nine hundred forty".

Divisors: 1 2 4 5 10 17 20 31 34 62 67 68 85 124 134 155 170 193 268 310 335 340 386 527 620 670 772 961 965 1054 1139 1340 1922 1930 2077 2108 2278 2635 3281 3844 3860 4154 4556 4805 5270 5695 5983 6562 8308 9610 10385 10540 11390 11966 12931 13124 16337 16405 19220 20770 22780 23932 25862 29915 32674 32810 35309 41540 51724 59830 64387 64655 65348 65620 70618 81685 101711 119660 128774 129310 141236 163370 176545 185473 203422 219827 257548 258620 321935 326740 353090 370946 400861 406844 439654 508555 643870 706180 741892 801722 879308 927365 1017110 1094579 1099135 1287740 1603444 1854730 2004305 2034220 2189158 2198270 3153041 3709460 4008610 4378316 4396540 5472895 6306082 6814637 8017220 10945790 12426691 12612164 13629274 15765205 21891580 24853382 27258548 31530410 34073185 49706764 62133455 63060820 68146370 124266910 136292740 211253747 248533820 422507494 845014988 1056268735 2112537470 4225074940